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.

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This nice and self-contained book breaks down in an accessible manner some of the deepest mathematical topics arising in the theory of asymptotic behavior of solutions to differential and functional differential equations on Banach spaces ... It will be extremely useful not only to expert readers but also to beginning graduate and advanced undergraduate students. --Mathematical Reviews

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