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Relevant bibliographies by topics / Quasi Linear Equation

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Academic literature on the topic 'Quasi Linear Equation'

Author: Grafiati

Published: 27 January 2023

Last updated: 25 July 2025

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Journal articles on the topic "Quasi Linear Equation"

1

Yermachenko, I. "MULTIPLE SOLUTIONS OF THE FOURTH‐ORDER EMDEN‐FOWLER EQUATION." Mathematical Modelling and Analysis 11, no. 3 (2006): 347–56. http://dx.doi.org/10.3846/13926292.2006.9637322.

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Two-point boundary value problems for the fourth-order Emden-Fowler equation are considered. If the given equation can be reduced to a quasi‐linear one with a non‐resonant linear part so that both equations are equivalent in some domain D, and if solution of the quasi‐linear problem is located in D, then the original problem has a solution. We show that a quasi‐linear problem has a solution of definite type which corresponds to the type of the linear part. If quasilinearization is possible for essentially different linear parts, then the original problem has multiple solutions.

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FRICKE, J. ROBERT. "QUASI-LINEAR ELASTODYNAMIC EQUATIONS FOR FINITE DIFFERENCE SOLUTIONS IN DISCONTINUOUS MEDIA." Journal of Computational Acoustics 01, no. 03 (1993): 303–20. http://dx.doi.org/10.1142/s0218396x93000160.

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The linear elastodynamic equations are ill-posed for models which contain high contrast density discontinuities. This paper presents a quasi-linear superset of the linear equations that is well-posed for this situation. The extended system contains a conservation of mass equation and a quasi-linear convective term in the momentum equation. Density, momentum, and stress are the field variables in the quasi-linear system, which is cast in a first order form. Using a Lax–Wendroff finite difference approximation, the utility of the quasi-linear system is demonstrated by modeling underwater acousti

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Yaremenko, Mikola Ivanovich. "QUASI-LINEAR EVOLUTION AND ELLIPTIC EQUATIONS." Journal of Progressive Research in Mathematics 11, no. 3 (2017): 1645–69. https://doi.org/10.5281/zenodo.3975990.

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In this article we use a new type of nonlinear elliptic operators that are associated with left side of elliptic equation and studied their properties. We draw up the form, that is associated with non-linear elliptic operator studying the properties this operator by means of form. We proved some a prior estimates which are theorems about properties of solutions under certain conditions on the function that forming this equation. We proved the existence of solution of quasi-linear evolution equation with singular coefficients in , l R l  >2 space by Galerkin method and showed that

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Everitt, W. N. "A note on linear ordinary quasi-differential equations." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 101, no. 1-2 (1985): 1–14. http://dx.doi.org/10.1017/s0308210500026111.

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SynopsisThe theory of differential equations is largely concerned with properties of solutions of individual, or classes of, equations. This paper is given over to the converse problem - that of seeking properties of functions which require them to be, in some respect, solutions of a differential equation, and to determining all possible such differential equations.From this point of view this paper discusses only linear ordinary quasi-differential equations of the second order. However, the methods can be extended to quasi-differential equations of general order.

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Fu, Zhongjun, Jianyu Wang, Yun Ou, Genyuan Zhou, and Xiaorong Zhao. "A Linear-Correction Algorithm for Quasi-Synchronous DFT." Mathematical Problems in Engineering 2018 (December 27, 2018): 1–9. http://dx.doi.org/10.1155/2018/1268905.

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Spectral leakage in the harmonic measured by quasi-synchronous DFT (QSDFT) is mainly due to short-range leakage caused by deviation in the signal frequency. By analysing the short-range-leakage characteristic of QSDFT, a linear-correction algorithm (LCQS) for QSDFT’s harmonic-analysis results is proposed. LCQS contains two linear-correction equations: an amplitude-correction equation and an initial-phase-angle-correction equation. The former is constructed by the least-squares method, whereas the latter is generated based on the linear error characteristic of the QSDFT harmonic phase. Simulati

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Sun, Yingte, and Xiaoping Yuan. "Quasi-periodic solution of quasi-linear fifth-order KdV equation." Discrete & Continuous Dynamical Systems - A 38, no. 12 (2018): 6241–85. http://dx.doi.org/10.3934/dcds.2018268.

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Alnafisah, Yousef, Fahd Masood, Ali Muhib, and Osama Moaaz. "Improved Oscillation Theorems for Even-Order Quasi-Linear Neutral Differential Equations." Symmetry 15, no. 5 (2023): 1128. http://dx.doi.org/10.3390/sym15051128.

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In this study, our goal was to establish improved inequalities that enhance the asymptotic and oscillatory behaviors of solutions to even-order neutral differential equations. In the oscillation theory of neutral differential equations, the connection between the solution and its corresponding function plays a critical role. We refined these relationships by leveraging the modified monotonic properties of positive solutions and introduced new conditions that ensure the absence of positive solutions, confirming the oscillation of all solutions to the studied equation. Based on the concept of sy

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Belokursky, M. S. "Periodic and almost periodic solutions of the Riccati equations with linear reflecting function." Doklady of the National Academy of Sciences of Belarus 66, no. 5 (2022): 479–88. http://dx.doi.org/10.29235/1561-8323-2022-66-5-479-488.

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The method of Mironenko’s reflecting function is used for investigation of Riccati equations. The class of Riccati equations with certain-type reflecting function has been preliminarily constructed. The necessary and sufficient conditions, under which the Riccati equation would have a reflecting function linear in phase variable, are proved. These conditions are constructive in nature, since on their basis the formula is obtained, which shows the linear in phase variable reflecting function in terms of the coefficients of the Riccati equation. Additionally, the relationship between the parity

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Catino, Francesco, and Maria Maddalena Miccoli. "Construction of quasi-linear left cycle sets." Journal of Algebra and Its Applications 14, no. 01 (2014): 1550001. http://dx.doi.org/10.1142/s0219498815500012.

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In this paper, we produce a method to construct quasi-linear left cycle sets A with Rad (A) ⊆ Fix (A). Moreover, among these cycle sets, we give a complete description of those for which Fix (A) = Soc (A) and the underlying additive group is cyclic. Using such cycle sets, we obtain left non-degenerate involutive set-theoretic solutions of the Yang–Baxter equation which are different from those obtained in [P. Etingof, T. Schedler and A. Soloviev, Set-theoretical solutions to the quantum Yang–Baxter equation, Duke Math. J. 100 (1999) 169–209; P. Etingof, A. Soloviev and R. Guralnick, Indecompos

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Zhdanov, Michael S., Vladimir I. Dmitriev, Sheng Fang, and Gábor Hursán. "Quasi‐analytical approximations and series in electromagnetic modeling." GEOPHYSICS 65, no. 6 (2000): 1746–57. http://dx.doi.org/10.1190/1.1444859.

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The quasi‐linear approximation for electromagnetic forward modeling is based on the assumption that the anomalous electrical field within an inhomogeneous domain is linearly proportional to the background (normal) field through an electrical reflectivity tensor λ⁁. In the original formulation of the quasi‐linear approximation, λ⁁ was determined by solving a minimization problem based on an integral equation for the scattering currents. This approach is much less time‐consuming than the full integral equation method; however, it still requires solution of the corresponding system of linear equa

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Dissertations / Theses on the topic "Quasi Linear Equation"

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Zhu, Rongchan [Verfasser]. "SDE and BSDE on Hilbert spaces: applications to quasi-linear evolution equations and the asymptotic properties of the stochastic quasi-geostrophic equation / Rongchan Zhu. Fakultät für Mathematik." Bielefeld : Universitätsbibliothek Bielefeld, Hochschulschriften, 2012. http://d-nb.info/1021059471/34.

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Rakesh, Arora. "Fine properties of solutions for quasi-linear elliptic and parabolic equations with non-local and non-standard growth." Thesis, Pau, 2020. http://www.theses.fr/2020PAUU3021.

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Dans cette thèse, nous étudions les propriétés fines des solutions d'équations elliptiques et paraboliques quasi-linéaires impliquant une croissance non locale et non standard. Nous nous sommes concentrés sur trois différents types d’équations aux dérivées partielles (EDP).Dans un premier temps, nous étudions les propriétés qualitatives des solutions faibles et fortes d’équations d'évolution comportant des termes à croissance non-standard. La motivation de l'étude de ces types d'équations réside dans la modélisation de caractéristiques anisotropes se produisant dans les modèles de fluides élec

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Mokrane, Abdelhafid. "Existence de solutions pour certains problèmes quasi linéaires elliptiques et paraboliques." Paris 6, 1986. http://www.theses.fr/1986PA066086.

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Existence de solutions bornées pour certaines équations paraboliques non linéaires. Existence de solutions pour un système elliptique quasi linéaire à croissance quadratique grâce à une borne l’infini petite. Existence de solutions pour un système elliptique quasi linéaire avec un second membre à croissance quadratique ayant une structure particulière.

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Maach, Fatna. "Existence pour des systèmes de réaction-diffusion ou quasi linéaires avec loi de balance." Nancy 1, 1994. http://www.theses.fr/1994NAN10121.

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Notre étude concerne des problèmes d'existence (ou de non-existence) pour des systèmes de réaction-diffusion elliptiques quasi linéaires présentant deux propriétés essentielles et fréquentes dans les applications, à savoir: 1) les solutions (éventuelles) sont positives; 2) la masse totale des composants est a priori contrôlée: ceci correspond à une propriété structurelle des termes non linéaires, par exemple que leur somme est négative ou nulle. Pour les systèmes semi-linéaires deux fois deux, c'est-à-dire lorsque les termes non linéaires sont indépendants des gradients et dans le cas ou l'un

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Jonsson, Karl. "Two Problems in non-linear PDE’s with Phase Transitions." Licentiate thesis, KTH, Matematik (Avd.), 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-223562.

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This thesis is in the field of non-linear partial differential equations (PDE), focusing on problems which show some type of phase-transition. A single phase Hele-Shaw flow models a Newtoninan fluid which is being injected in the space between two narrowly separated parallel planes. The time evolution of the space that the fluid occupies can be modelled by a semi-linear PDE. This is a problem within the field of free boundary problems. In the multi-phase problem we consider the time-evolution of a system of phases which interact according to the principle that the joint boundary which emerges

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Drogoul, Audric. "Méthode du gradient topologique pour la détection de contours et de structures fines en imagerie." Thesis, Nice, 2014. http://www.theses.fr/2014NICE4063/document.

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Cette thèse porte sur la méthode du gradient topologique appliquée au traitement d'images. Principalement, on s'intéresse à la détection d'objets assimilés, soit à des contours si l'intensité de l'image à travers la structure comporte un saut, soit à une structure fine (filaments et points en 2D) s'il n'y a pas de saut à travers la structure. On commence par généraliser la méthode du gradient topologique déjà utilisée en détection de contours pour des images dégradées par du bruit gaussien, à des modèles non linéaires adaptés à des images contaminées par un processus poissonnien ou du bruit de

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Qi, Yuan-Wei. "The blow-up of quasi-linear parabolic equations." Thesis, University of Oxford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.253381.

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Furlan, Marco. "Structures contrôlées pour les équations aux dérivées partielles." Thesis, Paris Sciences et Lettres (ComUE), 2018. http://www.theses.fr/2018PSLED008/document.

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Le projet de thèse comporte différentes directions possibles: a) Améliorer la compréhension des relations entre la théorie des structures de régularité développée par M. Hairer et la méthode des Distributions Paracontrolées développée par Gubinelli, Imkeller et Perkowski, et éventuellement fournir une synthèse des deux. C'est très spéculatif et, pour le moment, il n'y a pas de chemin clair vers cet objectif à long terme. b) Utiliser la théorie des Distributions Paracontrolées pour étudier différents types d'équations aux dérivés partiels: équations de transport et équations générales d'évoluti

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Samarawickrama-Kuruppuge, Paduma E. "On the Reducibility of Systems of Quasi-Periodic Linear Functional Differential Equations." University of Toledo / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1556815414015887.

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Montalto, Riccardo. "KAM for quasi-linear and fully nonlinear perturbations of Airy and KdV equations." Doctoral thesis, SISSA, 2014. http://hdl.handle.net/20.500.11767/3903.

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Books on the topic "Quasi Linear Equation"

1

Delort, Jean-Marc. Quasi-linear perturbations of Hamiltonian Klein-Gordon equations on spheres. American Mathematical Society, 2014.

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(Albert), Milani A., ed. Linear and quasi-linear evolution equations in Hilbert spaces. American Mathematical Society, 2012.

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Ninul, Anatolij Sergeevič. Tenzornaja trigonometrija: Teorija i prilozenija / Theory and Applications /. Mir Publisher, 2004.

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Ninul, Anatolij Sergeevič. Tensor Trigonometry. Fizmatlit Publisher, 2021.

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A quasi-linear Birkhoff normal forms method: Application to the quasi-linear Klein-Gordon equation on S¹. Societé mathématique de France, 2012.

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Ladyzhenskaia, Olga Aleksandrovna. Linear and Quasi-linear Equations of Parabolic Type. American Mathematical Society, 1995.

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Beyer, Horst Reinhard. Beyond Partial Differential Equations: On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations. Springer London, Limited, 2007.

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Orban, Dominique, and Mario Arioli. Iterative Solution of Symmetric Quasi-Definite Linear Systems. Society for Industrial and Applied Mathematics, 2017.

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Beyond Partial Differential Equations: On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations (Lecture Notes in Mathematics). Springer, 2007.

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Zeitlin, Vladimir. Rotating Shallow-Water Models as Quasilinear Hyperbolic Systems, and Related Numerical Methods. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0007.

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The chapter contains the mathematical background necessary to understand the properties of RSW models and numerical methods for their simulations. Mathematics of RSW model is presented by using their one-dimensional reductions, which are necessarily’one-and-a-half’ dimensional, due to rotation and include velocity in the second direction. Basic notions of quasi-linear hyperbolic systems are recalled. The notions of weak solutions, wave breaking, and shock formation are introduced and explained on the example of simple-wave equation. Lagrangian description of RSW is used to demonstrate that rot

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Book chapters on the topic "Quasi Linear Equation"

1

Epstein, Marcelo. "The Second-Order Quasi-linear Equation." In Partial Differential Equations. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-55212-5_6.

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D’Epifanio, Giulio. "About a Type of Quasi Linear Estimating Equation Approach." In Classification and Multivariate Analysis for Complex Data Structures. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-13312-1_26.

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Coulibaly, Ibrahim, and Christian Lécot. "Monte Carlo and quasi-Monte Carlo algorithms for a linear integro-differential equation." In Monte Carlo and Quasi-Monte Carlo Methods 1996. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-1690-2_10.

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Müller-Gronbach, Thomas, Klaus Ritter, and Tim Wagner. "Optimal Pointwise Approximation of a Linear Stochastic Heat Equation with Additive Space-Time White Noise." In Monte Carlo and Quasi-Monte Carlo Methods 2006. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-74496-2_34.

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Fiorini, Camilla, Pierre-Marie Boulvard, Long Li, and Etienne Mémin. "A Two-Step Numerical Scheme in Time for Surface Quasi Geostrophic Equations Under Location Uncertainty." In Mathematics of Planet Earth. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-18988-3_5.

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AbstractIn this work we consider the surface quasi-geostrophic (SQG) system under location uncertainty (LU) and propose a Milstein-type scheme for these equations, which is then used in a multi-step method. The SQG system considered here consists of one stochastic partial differential equation, which models the stochastic transport of the buoyancy, and a linear operator linking the velocity and the buoyancy. In the LU setting, the Euler-Maruyama scheme converges with weak order 1 and strong order 0.5. Our aim is to develop higher order schemes in time, based on a Milstein-type scheme in a mult

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Chen, Botao, and Yongsheng Mi. "Global Existence and Blow-up for the Quasi-Linear Parabolic Equation with Nonlinear Boundary Condition." In Lecture Notes in Electrical Engineering. Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-2386-6_163.

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Briggs, S., and J. P. Leburton. "Breakdown of the Linear Approximation to the Boltzmann Transport Equation in Quasi-One-Dimensional Semiconductors." In Physical Models for Quantum Wires, Nanotubes, and Nanoribbons. Jenny Stanford Publishing, 2023. http://dx.doi.org/10.1201/9781003219378-18.

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Marin, Marin, and Andreas Öchsner. "Quasi-linear Equations." In Complements of Higher Mathematics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74684-5_6.

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Resseguier, Valentin, Erwan Hascoët, and Bertrand Chapron. "Random Ocean Swell-Rays: A Stochastic Framework." In Mathematics of Planet Earth. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-18988-3_16.

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AbstractOriginating from distant storms, swell systems radiate across all ocean basins. Far from their sources, emerging surface waves have low steepness characteristics, with very slow amplitude variations. Swell propagation then closely follows principles of geometrical optics, i.e. the eikonal approximation to the wave equation, with a constant wave period along geodesics, when following a wave packet at its group velocity. The phase averaged evolution of quasi-linear wave fields is then dominated by interactions with underlying current and/or topography changes. Comparable to the propagati

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Borsuk, Mikhail. "The Robin Problem for Quasi-Linear Elliptic Equation p(x)-Laplacian in a Domain with Conical Boundary Point." In Trends in Mathematics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-87502-2_23.

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Conference papers on the topic "Quasi Linear Equation"

1

Asimopolos, Natalia-Silvia, Laurentiu Asimopolos, and Adrian-Aristide Asimopoos. "ASSESSMENT OF GEOPHYSICAL DATASET IN THE CENTRAL SEGMENT OF THE SOUTHERN CARPATHIANS ROMANIA." In 24th SGEM International Multidisciplinary Scientific GeoConference 24. STEF92 Technology, 2024. https://doi.org/10.5593/sgem2024/1.1/s05.591.

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In this work, I used the data from the geophysics portal of the Geological Institute of Romania (maps, sections), field measurements as well as the WGM 2012 model from the International Gravimetric Bureau. The measurements carried out in the south of the Southern Carpathians were represented by magnetometric measurements. Corroboration of geophysical information with geological and tectonic ones led to the confirmation of deep structures. The geological sources, which give geophysical samples specific to each geophysical method, are characterized differently depending on their size, depth, den

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Kostenko, M. V. "Methods of Estimation of Lightning Velocity and Equivalent Impedance by Means of Analysis ITS Quasi-Linear Partial Differential Equations." In EMC_1988_Wroclaw. IEEE, 1988. https://doi.org/10.23919/emc.1988.10832871.

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Baghaturia, Giorgi, and Marine Menteshashvili. "On the Numerical Solution of the Characteristic Problem for one Quasi-Linear Equation." In International Conference on Computer Science and Information Technologies. The University of Georgia, 2024. https://doi.org/10.62343/csit.2024.13.

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For linear differential equations solving the Goursat problem means to find a solution to the equation by given values on arcs of characteristics of different families. These arcs have one common point and their tangents are different at this point. As for nonlinear equations, families of characteristic curves depend on the sought solution and therefore are unknown in advance. For that reason, it is impossible to pose the characteristic problem (analogue of Goursat problem) for a nonlinear equation in the same way we do it for a linear one. In this paper we present a numerical method to solve

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Wang, Yi. "Reducibility of a 1D linear beam equation with a quasi-periodic perturbation." In Fifth International Conference on Machine Vision (ICMV 12), edited by Yulin Wang, Liansheng Tan, and Jianhong Zhou. SPIE, 2013. http://dx.doi.org/10.1117/12.2013906.

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Cao, Jianbing, and Baolin Ma. "On the Stability of a Linear Functional Equation in Generalized quasi-Banach Spaces." In 2010 International Conference on Computing, Control and Industrial Engineering. IEEE, 2010. http://dx.doi.org/10.1109/ccie.2010.214.

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Dikhaminjia, N., J. Rogava, M. Tsiklauri, et al. "Construction and Numerical Realization of Decomposition Scheme for Multidimensional Quasi-Linear Evolution Equation." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636958.

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Konzen, Pedro Henrique de Almeida, Leonardo Fernandes Guidi, and Thomas Richter. "QUASI-RANDOM DISCRETE ORDINATES METHOD TO RADIATIVE TRANSFER EQUATION WITH LINEAR ANISOTROPIC SCATTERING." In Anais do Encontro Nacional de Modelagem Computacional, Encontro de Ciência e Tecnologia de Materiais, Conferência Sul em Modelagem Computacional e Seminário e Workshop em Engenharia Oceânica. Even3, 2022. http://dx.doi.org/10.29327/1142685.25-41.

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Hameed, Raad Awad, Israa Munir Tawfik, and Shaimaa Rasheed Talab. "Periodic weak solutions for the quasi-linear parabolic chafee-infante equation by fixed point theorem." In 2ND INTERNATIONAL CONFERENCE OF MATHEMATICS, APPLIED SCIENCES, INFORMATION AND COMMUNICATION TECHNOLOGY. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0161987.

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Sharma, Ashu, and Subhash C. Sinha. "An Approximate Analysis of Quasi-Periodic Systems via Floquét Theory." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-68041.

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Parametrically excited systems are generally represented by a set of linear/nonlinear ordinary differential equations with time varying coefficients. In most cases, the linear systems have been modeled by Mathieu or Hill equations (periodic coefficients) because their stability and response can be determined by Floquét theory. However, in many cases the parametric excitation is not periodic but consists of frequencies that are incommensurate, making them quasi-periodic. Unfortunately, there is no complete theory for linear dynamic systems with quasi-periodic coefficients. Motivated by this fac

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Hameed, Raad A., Wafaa M. Taha, Yousef Q. Khmes, and Maan A. Rasheed. "Existence of periodic solutions to a quasi-linear parabolic Allen-Cahn equation with Neumann boundary condition." In PROCEEDINGS OF THE 1ST INTERNATIONAL CONFERENCE ON FRONTIER OF DIGITAL TECHNOLOGY TOWARDS A SUSTAINABLE SOCIETY. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0113648.

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Reports on the topic "Quasi Linear Equation"

1

Rundell, William, and Michael S. Pilant. Undetermined Coefficient Problems for Quasi-Linear Parabolic Equations. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada256012.

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Pilant, Michael S., and William Rundell. Undetermined Coefficient Problems for Quasi-Linear Parabolic Equations. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada218462.

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Wu, Yingjie, Selim Gunay, and Khalid Mosalam. Hybrid Simulations for the Seismic Evaluation of Resilient Highway Bridge Systems. Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, 2020. http://dx.doi.org/10.55461/ytgv8834.

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Bridges often serve as key links in local and national transportation networks. Bridge closures can result in severe costs, not only in the form of repair or replacement, but also in the form of economic losses related to medium- and long-term interruption of businesses and disruption to surrounding communities. In addition, continuous functionality of bridges is very important after any seismic event for emergency response and recovery purposes. Considering the importance of these structures, the associated structural design philosophy is shifting from collapse prevention to maintaining funct

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