Log in

Relevant bibliographies by topics / Uniqueness and qualitative properties of entire solutions

Contents

Journal articles

Academic literature on the topic 'Uniqueness and qualitative properties of entire solutions'

Author: Grafiati

Published: 10 March 2023

Last updated: 11 March 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Uniqueness and qualitative properties of entire solutions.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

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

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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 impossibility of localization are consequences of this result. In the case of the anti-plane problem we derive uniqueness and instability results without assuming the positivity of the mechanical energy. Finally, we study equilibrium theory and investigate the effects of a concentrated heat source in an unbounded body.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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 population of predators. We prove that in some regimes the optimal solution for the size of the total population contains two or more groups of competing predators.

APA, Harvard, Vancouver, ISO, and other styles

9

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.

Full text

Abstract:

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 operators can be used to obtain the existence, uniqueness, regularity properties, and blow-up of solution at the finite time of the Cauchy for nonlinear for same classes of Boussinesq equations. Here, the existence, uniqueness, L p -regularity, and blow-up properties of the solution of the Cauchy problem for Boussinesq equations with differential operators coefficients are handled associated with the growth nature of symbols of these differential operators and their interrelationships. We can obtain the existence, uniqueness, and qualitative properties of different classes of improved Boussinesq equations by choosing the given differential operators, which occur in a wide variety of physical systems.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

More sources

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!