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    TOPICS ON STABILITY AND PERIODICITY IN ABSTRACT DIFFERENTIAL EQUATIONS

    by James H Liu (James Madison University, USA), Gaston M N'Guérékata (Morgan State University, USA), & Nguyen Van Minh (University of West Georgia, USA)

    Table of Contents (106k)
    Preface (47k)
    Chapter 1: Banach Spaces, C0-Semigroups of Linear Operators and Almost Periodicity of Functions (297k)

    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
    • Nonlinear Equations
     
    Readership: Graduate students and researchers in the area of qualitative theory of differential equations.
     
    “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
     
    220pp    Pub. date: Jun 2008  
    ISBN:   978-981-281-823-2
    981-281-823-5
       US$118 / £78

     


    220pp    Pub. date: Jun 2008  
    ISBN:   978-981-281-824-9(ebook)
    981-281-824-3(ebook)
       US$153

     


     

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    Updated on 13 February 2012