Linear and Nonlinear Evolution Equations


Gaston Mandata N’Guerekata (Editor)
University Distinguished Professor of Mathematics, The World Academy of Sciences (TWAS) Research Professor, School of Computer, Mathematical and Natural Sciences, Morgan State University Baltimore, MD, USA

Series: Mathematics Research Developments
BISAC: MAT017000

This book presents and discusses current research in the study of linear and nonlinear evolution equations. Topics discussed include semilinear abstract differential equations; singular solutions of a semi-linear elliptic equation on nonsmooth domains; nonlinear parabolic systems with nonlinear boundaries; the decay of solutions of a nonlinear BBM-Burgers System and critical curves for a degenerate parabolic system with nonlinear boundary conditions.

(Imprint: Nova)

Table of Contents

Table of Contents


Existence of Oscillating Solution for Nonlinear State-Dependent Delay Differential Equation
(Zhixian Yu and Rong Yuan) pp.1-20

Semilinear Abstract Differential Equations with Deviated Argument
(Ciprian G. Gal) pp.21-28

Singular Solutions of a Semi-Linear Elliptic Equation on Nonsmooth
(Lotfi Riahi) pp.29-40

Entropy Solutions of Nonlinear Elliptic-Parabolic-Hyperbolic Degenerate Problems in One Dimension (Stanislas Ouaro) pp.41-64

Comparison Principle for a Class of Coupled Systems of Fully Nonlinear Parabolic Equations Under Nonlocal Boundary Conditions
(Huan-Yu Wang and Fang Li) pp.65-74

Decay of Solutions of a Nonlinear BBM-Burgers System
(Jardel Morais Pereira) pp.75-88

Critical Curves for a Degenerate Parabolic System with Nonlinear Boundary Conditions
(Zhongping Li) pp.89-100

Stepanov-Like Almost Automorphic Solutions of Semilinear Evolution Equations with Deviated Argument (Haewon Lee, Hadi Alkahby and Gaston N’Guerekata) pp.101-112

Generalized Leibnitz Rule and its Application to Nonlinear Schrodinger Equations with Superquadratic Potentials
(Guoping Zhang)pp.113-128

Simultaneous and Non-Simultaneous Blow-Up for a Nonlinear Parabolic System with Nonlinear Boundary
(Si Xu, Xianying He and Chunlai Mu) pp.129-146

On a Method of Resolution of Controllability Problems for a Semilinear Heat Equation: Application to the Sentinels
(Gisele Massengo Mophou and Ousseynou Nakoulima) pp.147-170

Existence and Regularity of Attractor for the Nonlinear Equation with Nonlinear Boundary Condition (Chaosheng Zhu) pp.171-188

Pseudo Almost Automorphic Solutions for Some Nonlinear Differential Equations: Lienard Equations and Hamiltonian Systems
(El Hadi Ait Dads, Philippe Cieutat and Samir Fatajou) pp.189-216

Index pp.217-219

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