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Journal articles on the topic 'Uniqueness and qualitative properties of entire solutions'

Author: Grafiati

Published: 10 March 2023

Last updated: 11 March 2023

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1

Poláčik, Peter. "On uniqueness of positive entire solutions and other properties of linear parabolic equations." Discrete & Continuous Dynamical Systems - A 12, no. 1 (2005): 13–26. http://dx.doi.org/10.3934/dcds.2005.12.13.

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2

Ieşan, Dorin, and Ramon Quintanilla. "Qualitative properties in strain gradient thermoelasticity with microtemperatures." Mathematics and Mechanics of Solids 23, no. 2 (2017): 240–58. http://dx.doi.org/10.1177/1081286516680860.

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This paper is devoted to the strain gradient theory of thermoelastic materials whose microelements possess microtemperatures. The work is motivated by an increasing use of materials which possess thermal variation at a microstructure level. In the first part of this paper we deduce the system of basic equations of the linear theory and formulate the boundary-initial-value problem. We establish existence, uniqueness, and continuous dependence results by the means of semigroup theory. Then, we study the one-dimensional problem and establish the analyticity of solutions. Exponential stability and

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3

Nguyen, Phuoc-Tai, and Hoang-Hung Vo. "Existence, uniqueness and qualitative properties of positive solutions of quasilinear elliptic equations." Journal of Functional Analysis 269, no. 10 (2015): 3120–46. http://dx.doi.org/10.1016/j.jfa.2015.09.003.

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4

Suárez, Antonio. "Nonnegative solutions for a heterogeneous degenerate competition model." ANZIAM Journal 46, no. 2 (2004): 273–97. http://dx.doi.org/10.1017/s1446181100013845.

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AbstractThis paper deals with the existence, uniqueness and qualitative properties of nonnegative and nontrivial solutions of a spatially heterogeneous Lotka-Volterra competition model with nonlinear diffusion. We give conditions in terms of the coefficients involved in the setting of the problem which assure the existence of nonnegative solutions as well as the uniqueness of a positive solution. In order to obtain these results we employ monotonicity methods, singular spectral theory and a fixed point index.

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5

Hernández, Eduardo, and Jianhong Wu. "Existence, Uniqueness and Qualitative Properties of Global Solutions of Abstract Differential Equations with State-Dependent Delay." Proceedings of the Edinburgh Mathematical Society 62, no. 3 (2019): 771–88. http://dx.doi.org/10.1017/s001309151800069x.

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AbstractWe study the existence, uniqueness and qualitative properties of global solutions of abstract differential equations with state-dependent delay. Results on the existence of almost periodic-type solutions (including, periodic, almost periodic, asymptotically almost periodic and almost automorphic solutions) are proved. Some examples of partial differential equations with state-dependent delay arising in population dynamics are presented.

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6

Cabré, Xavier, and Yannick Sire. "Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions." Transactions of the American Mathematical Society 367, no. 2 (2014): 911–41. http://dx.doi.org/10.1090/s0002-9947-2014-05906-0.

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7

Bhakta, Mousomi, and Debangana Mukherjee. "Nonlocal scalar field equations: Qualitative properties, asymptotic profiles and local uniqueness of solutions." Journal of Differential Equations 266, no. 11 (2019): 6985–7037. http://dx.doi.org/10.1016/j.jde.2018.11.023.

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8

Berestycki, Henri, and Alessandro Zilio. "Predators–prey models with competition, Part I: Existence, bifurcation and qualitative properties." Communications in Contemporary Mathematics 20, no. 07 (2018): 1850010. http://dx.doi.org/10.1142/s0219199718500104.

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We study a mathematical model of environments populated by both preys and predators, with the possibility for predators to actively compete for the territory. For this model we study existence and uniqueness of solutions, and their asymptotic properties in time, showing that the solutions have different behavior depending on the choice of the parameters. We also construct heterogeneous stationary solutions and study the limits of strong competition and abundant resources. We then use these information to study some properties such as the existence of solutions that maximize the total populatio

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Shakhmurov, Veli, and Rishad Shahmurov. "The regularity properties and blow-up of the solutions for improved Boussinesq equations." Electronic Journal of Qualitative Theory of Differential Equations, no. 89 (2021): 1–21. http://dx.doi.org/10.14232/ejqtde.2021.1.89.

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In this paper, we study the Cauchy problem for linear and nonlinear Boussinesq type equations that include the general differential operators. First, by virtue of the Fourier multipliers, embedding theorems in Sobolev and Besov spaces, the existence, uniqueness, and regularity properties of the solution of the Cauchy problem for the corresponding linear equation are established. Here, L p -estimates for a~solution with respect to space variables are obtained uniformly in time depending on the given data functions. Then, the estimates for the solution of linearized equation and perturbation of

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10

Guo, Zongming, Xia Huang, Dong Ye, and Feng Zhou. "Qualitative properties of Hénon type equations with exponential nonlinearity." Nonlinearity 35, no. 1 (2021): 492–512. http://dx.doi.org/10.1088/1361-6544/ac3925.

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Abstract We are interested in the qualitative properties of solutions of the Hénon type equations with exponential nonlinearity. First, we classify the stable at infinity solutions of Δu + |x| α e u = 0 in R N , which gives a complete answer to the problem considered in Wang and Ye (2012 J. Funct. Anal. 262 1705–1727). Secondly, existence and precise asymptotic behaviours of entire radial solutions to Δ2 u = |x| α e u are obtained. Then we classify the stable and stable at infinity radial solutions to Δ2 u = |x| α e u in any dimension.

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11

González, María del Mar, Mariel Sáez, and Yannick Sire. "Layer solutions for the fractional Laplacian on hyperbolic space: existence, uniqueness and qualitative properties." Annali di Matematica Pura ed Applicata (1923 -) 193, no. 6 (2013): 1823–50. http://dx.doi.org/10.1007/s10231-013-0358-2.

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12

Zhang, Xinguang, Pengtao Xu, Yonghong Wu, and Benchawan Wiwatanapataphee. "The uniqueness and iterative properties of solutions for a general Hadamard-type singular fractional turbulent flow model." Nonlinear Analysis: Modelling and Control 27 (January 25, 2022): 1–17. http://dx.doi.org/10.15388/namc.2022.27.25473.

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In this paper, we consider the iterative properties of positive solutions for a general Hadamard-type singular fractional turbulent flow model involving a nonlinear operator. By developing a double monotone iterative technique we firstly establish the uniqueness of positive solutions for the corresponding model. Then we carry out the iterative analysis for the unique solution including the iterative schemes converging to the unique solution, error estimates, convergence rate and entire asymptotic behavior. In addition, we also give an example to illuminate our results.

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13

Ben Chrouda, Mohamed. "Uniqueness and Liouville type results for radial solutions of some classes of k -Hessian equations." Electronic Journal of Qualitative Theory of Differential Equations, no. 62 (2022): 1–17. http://dx.doi.org/10.14232/ejqtde.2022.1.62.

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We establish a uniqueness theorem and a Liouville type result for positive radial solutions of some classes of nonlinear autonomous equation with the k -Hessian operator. We also give some interesting qualitative properties of solutions. We provide an approach, based upon a Pohozaev-type identity, that unifies all our results.

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14

Pei, Minghe, Libo Wang, and Xuezhe Lv. "Existence, uniqueness and qualitative properties of heteroclinic solutions to nonlinear second-order ordinary differential equations." Electronic Journal of Qualitative Theory of Differential Equations, no. 1 (2021): 1–21. http://dx.doi.org/10.14232/ejqtde.2021.1.1.

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15

Yao, Meiping, Pengzhi Qiao, and Yang Wang. "Some Qualitative Properties of Traveling Wave Fronts of Nonlocal Diffusive Competition-Cooperation Systems of Three Species with Delays." Complexity 2020 (September 18, 2020): 1–19. http://dx.doi.org/10.1155/2020/6909567.

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This paper is concerned with nonlocal diffusion systems of three species with delays. By modified version of Ikehara’s theorem, we prove that the traveling wave fronts of such system decay exponentially at negative infinity, and one component of such solutions also decays exponentially at positive infinity. In order to obtain more information of the asymptotic behavior of such solutions at positive infinity, for the special kernels, we discuss the asymptotic behavior of such solutions of such system without delays, via the stable manifold theorem. In addition, by using the sliding method, the

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16

Boulares, Hamid, Abbes Benchaabane, Nuttapol Pakkaranang, Ramsha Shafqat, and Bancha Panyanak. "Qualitative Properties of Positive Solutions of a Kind for Fractional Pantograph Problems using Technique Fixed Point Theory." Fractal and Fractional 6, no. 10 (2022): 593. http://dx.doi.org/10.3390/fractalfract6100593.

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The current paper intends to report the existence and uniqueness of positive solutions for nonlinear pantograph Caputo–Hadamard fractional differential equations. As part of a procedure, we transform the specified pantograph fractional differential equation into an equivalent integral equation. We show that this equation has a positive solution by utilising the Schauder fixed point theorem (SFPT) and the upper and lower solutions method. Another method for proving the existence of a singular positive solution is the Banach fixed point theorem (BFPT). Finally, we provide an example that illustr

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17

Guo, Zongming, and Juncheng Wei. "Qualitative properties of entire radial solutions for a biharmonic equation with supercritical nonlinearity." Proceedings of the American Mathematical Society 138, no. 11 (2010): 3957. http://dx.doi.org/10.1090/s0002-9939-10-10374-8.

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18

Quintanilla, Ramón, and Reinhard Racke. "Qualitative aspects in dual-phase-lag heat conduction." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463, no. 2079 (2006): 659–74. http://dx.doi.org/10.1098/rspa.2006.1784.

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We investigate the equation of the dual-phase-lag heat conduction proposed by Tzou. To describe this equation, we use the phase lag of the heat flux and the phase lag of the gradient of the temperature. We analyse the basic properties of the solutions of this problem. First, we prove that when both parameters are positive, the problem is well posed and the spatial decay of solutions is controlled by an exponential of the distance. When the phase lag of the gradient of the temperature is bigger than the phase lag of the heat flux, the problem is exponentially stable (which is a natural property

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19

Smarrazzo, Flavia. "On a Class of Quasilinear Elliptic Equations with Degenerate Coerciveness and Measure Data." Advanced Nonlinear Studies 18, no. 2 (2018): 361–92. http://dx.doi.org/10.1515/ans-2017-6032.

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AbstractWe study the existence of measure-valued solutions for a class of degenerate elliptic equations with measure data. The notion of solution is natural, since it is obtained by a regularization procedure which also relies on a standard approximation of the datum μ. We provide partial uniqueness results and qualitative properties of the constructed solutions concerning, in particular, the structure of their diffuse part with respect to the harmonic-capacity.

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20

KHAN, ZAREEN A., and HIJAZ AHMAD. "QUALITATIVE PROPERTIES OF SOLUTIONS OF FRACTIONAL DIFFERENTIAL AND DIFFERENCE EQUATIONS ARISING IN PHYSICAL MODELS." Fractals 29, no. 05 (2021): 2140024. http://dx.doi.org/10.1142/s0218348x21400247.

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Discrete fractional calculus (DFC) is suggested to interpret neural schemes with memory impacts. This study seeks to formulate some discrete fractional nonlinear inequalities with [Formula: see text] fractional sum operators that are used with some conventional and forthright inequalities. Taking into consideration, we recreate the explicit bounds of Gronwall-type inequalities by observing the principle of DFC for unknown functions here. Such inequalities are of new version relative to the current literature findings so far and can be used as a helpful method to evaluate the numerical solution

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21

Derbazi, Choukri, Qasem M. Al-Mdallal, Fahd Jarad, and Zidane Baitiche. "Some qualitative properties of solutions to a nonlinear fractional differential equation involving two $ \Phi $-Caputo fractional derivatives." AIMS Mathematics 7, no. 6 (2022): 9894–910. http://dx.doi.org/10.3934/math.2022552.

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<abstract><p>The momentous objective of this work is to discuss some qualitative properties of solutions such as the estimate of the solutions, the continuous dependence of the solutions on initial conditions and the existence and uniqueness of extremal solutions to a new class of fractional differential equations involving two fractional derivatives in the sense of Caputo fractional derivative with respect to another function $ \Phi $. Firstly, using the generalized Laplace transform method, we give an explicit formula of the solutions to the aforementioned linear problem which ca

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22

Lindstrom, Michael R., and Andrea L. Bertozzi. "Qualitative features of a nonlinear, nonlocal, agent-based PDE model with applications to homelessness." Mathematical Models and Methods in Applied Sciences 30, no. 10 (2020): 1863–91. http://dx.doi.org/10.1142/s0218202520400114.

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In this paper, we develop a continuum model for the movement of agents on a lattice, taking into account location desirability, local and far-range migration, and localized entry and exit rates. Specifically, our motivation is to qualitatively describe the homeless population in Los Angeles. The model takes the form of a fully nonlinear, nonlocal, non-degenerate parabolic partial differential equation. We derive the model and prove useful properties of smooth solutions, including uniqueness and [Formula: see text]-stability under certain hypotheses. We also illustrate numerical solutions to th

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23

Bahrouni, Anouar, Hichem Ounaies, and Vicenţiu D. Rădulescu. "Infinitely many solutions for a class of sublinear Schrödinger equations with indefinite potentials." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 145, no. 3 (2015): 445–65. http://dx.doi.org/10.1017/s0308210513001169.

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In this paper we are concerned with qualitative properties of entire solutions to a Schrödinger equation with sublinear nonlinearity and sign-changing potentials. Our analysis considers three distinct cases and we establish sufficient conditions for the existence of infinitely many solutions.

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24

Song, Haoyue, and Fanwei Meng. "Some generalizations of delay integral inequalities of Gronwall-Bellman type with power and their applications." Mathematical Foundations of Computing 5, no. 1 (2022): 45. http://dx.doi.org/10.3934/mfc.2021022.

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<p style='text-indent:20px;'>Noting the diverse generalizations of the Gronwall-Bellman inequality, this paper investigates some new delay integral inequalities with power, deriving explicit bound on the solution and providing an example. The inequalities given here can act as powerful tools for studying qualitative properties such as existence, uniqueness, boundedness, stability and asymptotics of solutions of differential and integral equations.</p>

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25

Hernández-Verón, Miguel Á., and Natalia Romero. "Location, Separation and Approximation of Solutions for Quadratic Matrix Equations." Foundations 2, no. 2 (2022): 457–74. http://dx.doi.org/10.3390/foundations2020030.

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In this work, we focus on analyzing the location and separation of the solutions of the simplest quadratic matrix equation. For this, we use the qualitative properties that we can deduce of the study of the convergence of iterative processes. This study allow us to determine domains of existence and uniqueness of solutions, and therefore to locate and separate the solutions. Another goal is to approximate a solution of the quadratic matrix equation. For this, we consider iterative processes of fixed point type. So, analyzing the convergence of these iterative processes of fixed point type, we

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26

Ferrari, Fausto, and Antonio Vitolo. "Regularity Properties for a Class of Non-uniformly Elliptic Isaacs Operators." Advanced Nonlinear Studies 20, no. 1 (2020): 213–41. http://dx.doi.org/10.1515/ans-2019-2069.

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AbstractWe consider the elliptic differential operator defined as the sum of the minimum and the maximum eigenvalue of the Hessian matrix, which can be viewed as a degenerate elliptic Isaacs operator, in dimension larger than two. Despite of nonlinearity, degeneracy, non-concavity and non-convexity, such an operator generally enjoys the qualitative properties of the Laplace operator, as for instance maximum and comparison principles, ABP and Harnack inequalities, Liouville theorems for subsolutions or supersolutions. Existence and uniqueness for the Dirichlet problem are also proved as well as

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27

GNANN, M. V., H. J. KIM, and H. KNÜPFER. "Travelling wave solutions for a thin-film equation related to the spin-coating process." European Journal of Applied Mathematics 29, no. 3 (2017): 369–92. http://dx.doi.org/10.1017/s0956792517000195.

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We study a problem related to the spin-coating process in which a fluid coats a rotating surface. Our interest lies in the contact-line region for which we propose a simplified travelling wave approximation. We construct solutions to this problem by a shooting method that matches solution branches in the contact-line region and in the interior of the droplet. Furthermore, we prove uniqueness and qualitative properties of the solution connected to the fourth-order nature of the equation, such as a global maximum in the film height close to the contact line, elevated from the average height of t

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28

Ivanov, Tihomir B., and Neli S. Dimitrova. "Qualitative effects of introducing nonlinear birth and death rates for the predator in a predator-prey type model." BIOMATH 6, no. 1 (2017): 1703167. http://dx.doi.org/10.11145/j.biomath.2017.03.167.

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In this paper, we study how introducing nonlinear birth and death rates for the predator might affect the qualitative behavior of a mathematical model, describing predator-prey systems. We base our investigations on a known model, exhibiting anti-predator behavior. We propose a generalization of the latter by introducing generic birth and death rates for the predator and study the dynamics of the resulting system. We establish existence and uniqueness of positive model solutions, their uniform boundedness, existence, local stability and bifurcations of equilibrium points as well as global stab

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29

George Maria Selvam, A., and S. Britto Jacob. "STABILITY OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS IN THE FRAME OF ATANGANA-BALEANU OPERATOR." Advances in Mathematics: Scientific Journal 10, no. 5 (2021): 2319–33. http://dx.doi.org/10.37418/amsj.10.5.3.

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Theory of fractional calculus with singular and non-singular kernels is pioneering and has garnered significant interest recently. Fair amount of literature on the qualitative properties of fractional differential and integral equations involving different types of operators is available. This manuscript aims to analyze the stability of a class of nonlinear fractional differential equation in terms of Atangana-Baleanu-Caputo operator. Sufficient conditions for the existence and uniqueness of solutions are obtained by employing classical fixed point theorems and Banach contraction principle. Al

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30

van Duijn, C. J., L. A. Peletier, and R. J. Schotting. "On the analysis of brine transport in porous media." European Journal of Applied Mathematics 4, no. 3 (1993): 271–302. http://dx.doi.org/10.1017/s0956792500001121.

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An analysis is given of brine transport through a porous medium, which incorporates the effect of volume changes due to variations in the salt concentration. Two specific situations are investigated which lead to self-similarity. We develop the existence and uniqueness theory for the corresponding ordinary differential equations, and give a number of qualitative properties of the solutions. In particular, we present an asymptotic expression for the solution in terms of the relative density difference (ρs−ρf)/ρf. Finally, we show some numerical results. It is found that the volume changes have

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31

Wang, Pengyan. "Monotonicity of solutions for fractional p-equations with a gradient term." Open Mathematics 20, no. 1 (2022): 465–77. http://dx.doi.org/10.1515/math-2022-0035.

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Abstract In this paper, we consider the following fractional p p -equation with a gradient term: ( − Δ ) p s u ( x ) = f ( x , u ( x ) , ∇ u ( x ) ) . {\left(-\Delta )}_{p}^{s}u\left(x)=f\left(x,u\left(x),\nabla u\left(x)). We first prove the uniqueness and monotonicity of positive solutions in a bounded domain. Then by estimating the singular integrals which define the fractional p p -laplacian along a sequence of approximate maximum points, we obtain monotonicity of positive solutions in the whole space via the sliding method. In order to solve the difficulties caused by the gradient term, w

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32

BARTIER, JEAN-PHILIPPE, JEAN DOLBEAULT, REINHARD ILLNER, and MICHAŁ KOWALCZYK. "A QUALITATIVE STUDY OF LINEAR DRIFT-DIFFUSION EQUATIONS WITH TIME-DEPENDENT OR DEGENERATE COEFFICIENTS." Mathematical Models and Methods in Applied Sciences 17, no. 03 (2007): 327–62. http://dx.doi.org/10.1142/s0218202507001942.

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This paper is concerned with entropy methods for linear drift-diffusion equations with explicitly time-dependent or degenerate coefficients. Our goal is to establish a list of various qualitative properties of the solutions. The motivation for this study comes from a model for molecular motors, the so-called Brownian ratchet, and from a nonlinear equation arising in traffic flow models, for which complex long time dynamics occurs. General results are out of the scope of this paper, but we deal with several examples corresponding to most of the expected behaviors of the solutions. We first prov

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33

Sumata, Hiroshi, Frank Kauker, Michael Karcher, and Rüdiger Gerdes. "Covariance of Optimal Parameters of an Arctic Sea Ice–Ocean Model." Monthly Weather Review 147, no. 7 (2019): 2579–602. http://dx.doi.org/10.1175/mwr-d-18-0375.1.

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Abstract The uniqueness of optimal parameter sets of an Arctic sea ice simulation is investigated. A set of parameter optimization experiments is performed using an automatic parameter optimization system, which simultaneously optimizes 15 dynamic and thermodynamic process parameters. The system employs a stochastic approach (genetic algorithm) to find the global minimum of a cost function. The cost function is defined by the model–observation misfit and observational uncertainties of three sea ice properties (concentration, thickness, drift) covering the entire Arctic Ocean over more than two

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34

Kazakov, A. L., and L. F. Spevak. "Approximate and Exact Solutions to the Singular Nonlinear Heat Equation with a Common Type of Nonlinearity." Bulletin of Irkutsk State University. Series Mathematics 34 (2020): 18–34. http://dx.doi.org/10.26516/1997-7670.2020.34.18.

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The paper deals with the problem of the motion of a heat wave with a specified front for a general nonlinear parabolic heat equation. An unknown function depends on two variables. Along the heat wave front, the coefficient of thermal conductivity and the source function vanish, which leads to a degeneration of the parabolic type of the equation. This circumstance is the mathematical reason for the appearance of the considered solutions, which describe perturbations propagating along the zero background with a finite velocity. Such effects are generally atypical for parabolic equations. Previou

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35

Sethio, Gabriella, and Salima Hakim. "Visual Metaphors in Set and Properties Design for ‘Setengah Nada Bergeming’ Film Trailer." Journal of Visual Communication Design 6, no. 2 (2022): 61–71. http://dx.doi.org/10.37715/vcd.v6i2.2700.

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In a film production, production design is an important aspect that supports the narrative or story. In production design visual metaphors are often used as concepts for sets and props which have the ability to transform a long text into a shorter visual. Visual metaphor itself is a representation of a place, person, nature, and object that can be a tool to build a narrative as well as describe the nature of a character in a film. The use of visual metaphors can be done by understanding the characters in the film, because each have different characteristics and its own uniqueness. By understan

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Sethio, Gabriella, and Salima Hakim. "Visual Metaphors in Set and Properties Design for ‘Setengah Nada Bergeming’ Film Trailer." Journal of Visual Communication Design 6, no. 2 (2022): 1–12. http://dx.doi.org/10.37715/vcd.v6i2.2451.

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In a film production, production design is an important aspect that supports the narrative or story. In production design visual metaphors are often used as concepts for sets and props which have the ability to transform a long text into a shorter visual. Visual metaphor itself is a representation of a place, person, nature, and object that can be a tool to build a narrative as well as describe the nature of a character in a film. The use of visual metaphors can be done by understanding the characters in the film, because each have different characteristics and its own uniqueness. By understan

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37

Chen, Wenxiong, and Leyun Wu. "Liouville Theorems for Fractional Parabolic Equations." Advanced Nonlinear Studies 21, no. 4 (2021): 939–58. http://dx.doi.org/10.1515/ans-2021-2148.

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Abstract In this paper, we establish several Liouville type theorems for entire solutions to fractional parabolic equations. We first obtain the key ingredients needed in the proof of Liouville theorems, such as narrow region principles and maximum principles for antisymmetric functions in unbounded domains, in which we remarkably weaken the usual decay condition u → 0 u\to 0 at infinity to a polynomial growth on 𝑢 by constructing proper auxiliary functions. Then we derive monotonicity for the solutions in a half space R + n × R \mathbb{R}_{+}^{n}\times\mathbb{R} and obtain some new connection

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38

Salako, Rachidi B., та Wenxian Shen. "Parabolic–elliptic chemotaxis model with space–time-dependent logistic sources on ℝN. I. Persistence and asymptotic spreading". Mathematical Models and Methods in Applied Sciences 28, № 11 (2018): 2237–73. http://dx.doi.org/10.1142/s0218202518400146.

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The current series of three papers is concerned with the asymptotic dynamics in the following parabolic–elliptic chemotaxis system with space- and time-dependent logistic source: [Formula: see text] where [Formula: see text] is a positive integer, [Formula: see text] and [Formula: see text] are positive constants, and the functions [Formula: see text] and [Formula: see text] are positive and bounded. In the first of the series, we investigate the persistence and asymptotic spreading in [Formula: see text]. To this end, under some explicit condition on the parameters, we first show that [Formul

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39

Prokopska, Aleksandra, and Jacek Abramczyk. "Innovative Building Forms Determined by Orthotropic Properties of Folded Sheets Transformed Into Roof Shells." Journal of the International Association for Shell and Spatial Structures 61, no. 2 (2020): 111–24. http://dx.doi.org/10.20898/j.iass.2020.204.044.

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Qualitative and quantitative characteristics of geometrical and mechanical changes of nominally plane steel sheets folded in one direction, caused by big elastic shape transformations were invented on the basis of the authors' tests, analyzes and computational models of thin-walled folded sheets transformed into shell shapes. Both geometrical and mechanical changes produce significant restrictions in using sheets for shell forms. The deliberate transformations and sheets' characteristics are required to obtain attractive and innovative forms of roof shells and their consistent structures as we

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40

Alturkistani, Raghad, Kavin A, Suresh Devasahayam, et al. "Affordable passive 3D-printed prosthesis for persons with partial hand amputation." Prosthetics and Orthotics International 44, no. 2 (2020): 92–98. http://dx.doi.org/10.1177/0309364620905220.

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Background and Aim: Partial hand amputations are common in developing countries and have a negative impact on patients and their families’ quality of life. The uniqueness of each partial hand amputation, coupled with the relatively high costs of prostheses, makes it challenging to provide suitable prosthetic solutions in developing countries. Current solutions often have long lead times and require a high level of expertise to produce. The aim of this study was to design and develop an affordable patient-specific partial hand prosthesis for developing countries. Technique: The prosthesis was d

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Astafev, Pavel, Aleksey Pavelko, Alexander Lerer, Jakov Reizenkind, Yuvenaliy Noykin, and Larisa Reznichenko. "Microwave-Absorbing Properties of PbMg1/3Nb2/3O3-PbZrO3-PbTiO3-PbGeO3 (PMN-PZT-PG) Solid Solutions on a Microstrip Line in the Microwave Range." Crystals 12, no. 4 (2022): 551. http://dx.doi.org/10.3390/cryst12040551.

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In this paper, a brief review of the current state of research on ferroelectric, ferromagnetic, and multiferroic materials in the microwave range is given, and the main research methods are described. The main areas of application of functional materials in radio electronics are outlined. Multicomponent ferroelectric media based on ferroelectric (PbTiO3), antiferroelectric (PbZrO3), and relaxors (PbMg1/3Nb2/3O3) are considered promising radio-absorbing materials. A method for comparing the electrical parameters of samples using a microstrip line and a network analyzer is described in detail, i

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Merkulov, Vladislav, and Stanislav Lazarev. "CONTROL AND MONITORING OF FUSION WELDING BY WAY OF EXAMPLE OF MANUFACTURING AIRCRAFT AIR CONDITIONING SYSTEMS ELEMENTS." Bulletin of Bryansk state technical university 2021, no. 9 (2021): 23–28. http://dx.doi.org/10.30987/1999-8775-2021-9-23-28.

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The purpose of the study is estimation of the efficiency of the control systems use for improving the organization of various welding processes and perfectibility of the technological discipline of their implementation.  The article opens the concept of "welding production management" as a comprehensive quality and performance management system of the welding process. The solution to the problem of reducing the time for optimizing structures was the introduction of a new computer system. It successfully collects data for calculating and analyzing the space of design solutions, for

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Monticelli, Dario D., Kevin R. Payne, and Fabio Punzo. "Poincaré inequalities for Sobolev spaces with matrix-valued weights and applications to degenerate partial differential equations." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 149, no. 1 (2018): 61–100. http://dx.doi.org/10.1017/s0308210517000427.

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For bounded domains Ω, we prove that the Lp-norm of a regular function with compact support is controlled by weighted Lp-norms of its gradient, where the weight belongs to a class of symmetric non-negative definite matrix-valued functions. The class of weights is defined by regularity assumptions and structural conditions on the degeneracy set, where the determinant vanishes. In particular, the weight A is assumed to have rank at least 1 when restricted to the normal bundle of the degeneracy set S. This generalization of the classical Poincaré inequality is then applied to develop a robust the

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Шумафов, Магомет Мишаустович. "Second-order stochastic differential equations: stability, dissipativity, periodicity. IV. - A survey." Вестник Адыгейского государственного университета, серия «Естественно-математические и технические науки», no. 2(281) (September 28, 2021): 15–26. http://dx.doi.org/10.53598/2410-3225-2021-2-281-15-26.

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Настоящая статья является продолжением предыдущей статьи и представляет собой четвертую часть работы автора. В работе делается обзор результатов исследований качественных свойств решений стохастических дифференциальных уравнений и систем второго порядка. В первой части был дан краткий обзор результатов работ по стохастической устойчивости решений дифференциальных уравнений и систем второго порядка с использованием аппарата функций Ляпунова. Были приведены некоторые предварительные сведения из теории вероятностей и теории случайных процессов. Во второй части дана конструкция стохастических инте

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Habrel, Mykola, and Mykhailo Habrel. "DIFFERENTIAL URBANISM AS A CONCEPT OF RESTORATION, REORGANIZATION AND DEVELOPMENT OF SUSTAINABILITY OF SPACE UKRAINE." Urban development and spatial planning, no. 81 (August 31, 2022): 70–92. http://dx.doi.org/10.32347/2076-815x.2022.81.70-92.

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The realities of today require changes and development of urban methodology, systematic rethinking of the fundamental categories of urbanism and urban planning. The multiplicity of goals (operational, strategic, tactical, regulatory, long-term planning) of urban planning activities and the probability of tasks (uncertainty and instability of conditions and means) determine the need for multicriteriality of analysis, justification and evaluation of urban planning decisions. The authors elaborated on the categories of differentiation in urbanism. Differential urbanism envisages the return of a s

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Pylypchuk, Oleh, Oleh Strelko, and Yuliia Berdnychenko. "PREFACE." History of science and technology 12, no. 2 (2022): 194–96. http://dx.doi.org/10.32703/2415-7422-2022-12-2-194-196.

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The issue of the journal begins with an article on French sinology. French sinology takes a special place in the history of the sinological studies development. It was France that became the first country where the transformation of missionary sinology, which was common among a limited circle of researchers (mainly in a religious sphere), into the academic scientific discipline, which had already been taught and studied at a professional level in academic institutions, occurred. The Parisian type of sinology used to dominate the entire world for a long time, including such powerful centers of

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Zheng, C. G., B. L. Gall, H. W. Gao, A. E. Miller, and R. S. Bryant. "Effects of Polymer Adsorption and Flow Behavior on Two-Phase Flow in Porous Media." SPE Reservoir Evaluation & Engineering 3, no. 03 (2000): 216–23. http://dx.doi.org/10.2118/64270-pa.

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Summary To determine the effect of water-soluble polyacrylamide polymer adsorption and flow behavior on oil recovery, relative permeability and mobility were determined from flow experiments at various polymer concentrations. A selective reduction of the relative permeability to water with respect to the relative permeability to oil was observed for both Berea and reservoir sandstone cores. Adsorbed polymer layer increases water wettability. Relative permeability reduction could be attributed to both wettability change and pore-size restriction due to the adsorbed polymer layer. An empirical m

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Jain, Rupali S., and M. B. Dhakne. "On Some Qualitative Properties of Mild Solutions of Nonlocal Semilinear Functional Differential Equations." Demonstratio Mathematica 47, no. 4 (2014). http://dx.doi.org/10.2478/dema-2014-0069.

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AbstractIn the present paper, we investigate the qualitative properties such as existence, uniqueness and continuous dependence on initial data of mild solutions of first and second order nonlocal semilinear functional differential equations with delay in Banach spaces. Our analysis is based on semigroup theory and modified version of Banach contraction theorem.

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Ayari, M. Iadh, and Sabri T. M. Thabet. "Qualitative properties and approximate solutions of thermostat fractional dynamics system via a nonsingular kernel operator." Arab Journal of Mathematical Sciences, February 3, 2023. http://dx.doi.org/10.1108/ajms-06-2022-0147.

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PurposeThis paper aims to study qualitative properties and approximate solutions of a thermostat dynamics system with three-point boundary value conditions involving a nonsingular kernel operator which is called Atangana-Baleanu-Caputo (ABC) derivative for the first time. The results of the existence and uniqueness of the solution for such a system are investigated with minimum hypotheses by employing Banach and Schauder's fixed point theorems. Furthermore, Ulam-Hyers (UH) stability, Ulam-Hyers-Rassias UHR stability and their generalizations are discussed by using some topics concerning the no

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Boudref, Mohamed-Ahmed, and Ahmed Berboucha. "New inequalities of Gronwall type for the stochastic differential equations." Random Operators and Stochastic Equations 23, no. 3 (2015). http://dx.doi.org/10.1515/rose-2014-0035.

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AbstractIn this paper, we establish some new nonlinear integral inequalities of Gronwall type for Itô integrals. These inequalities generalize some inequalities which can be used in applications as handy tools to study the qualitative as well as quantitative properties of solutions of some stochastic differential equations. We will use this inequalities to show the existence and uniqueness of solutions for nonlinear EDS.

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