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Full Description
This book presents recent methods of study on the asymptotic behavior of solutions of abstract differential equations such as stability, exponential dichotomy, periodicity, almost periodicity, and almost automorphy of solutions. The chosen methods are described in a way that is suitable to those who have some experience with ordinary differential equations. The book is intended for graduate students and researchers in the related areas.
Contents
Stability and Exponential Dichotomy; Almost Periodic Solutions; Almost Automorphic Solutions; Evolution Semigroup Method; Sums of Commuting Operators; Decomposition Theorem; Nonlinear Equations with Finite Delay; Nonlinear Equations with Infinite Delay; Non-Densely Defined Equations; Evolution Semigroups and Semilinear Equations; Comments and Further Reading Guide.