Topics on stability and periodicity in abstract differential equations
著者
書誌事項
Topics on stability and periodicity in abstract differential equations
(Series on concrete and applicable mathematics, v. 6)
World Scientific, c2008
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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.
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