Presents the research on the theory and methods of linear and non-linear evolution equations as well as their further applications. This book includes the asymptotic behaviour of solutions to evolution equations. It also includes other non-linear different

Contains lecture notes on courses to students at various universities on the asymptotic behaviour of differential equations. This book is intended for those who have some acquaintance with differential equations in Banach spaces and Functional Analysis. It

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

This book presents and discusses new developments in the study of differential equations. Topics discussed include pseudo almost automorphic solutions for some non-linear differential equations; positive solutions for p-laplacian dynamic delay differential equations on time scales; semi-linear fractional differential equations; positive solutions for a class of second-order impulsive singular differential equations in banach spaces; and, non-linear hyperbolic second-order partial differential equations with delay.

This book presents current mathematical research in the study of evolution equations. Topics discussed include the complexity of evolutionary dynamics; variational hyperbolic inequality in spatial variables; the superposition of functions; evolutionary dynamics equations and the information law of evolution and time periodic solutions for quasigeostrophic motion and their stability.

Presents and discusses the developments in the study of evolution equations. This book covers topics that include a qualitative study of a perturbed critical semi-linear wave equation in variable metric; renormalised solution for a non-linear anisotropic degenerate parabolic equation; periodic solutions of impulsive evolution equations; and, more.