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Topics On Stability And Periodicity In Abstract Differential Equations (Series on Concrete and Applicable Mathematics)
 
 
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Topics On Stability And Periodicity In Abstract Differential Equations (Series on Concrete and Applicable Mathematics) [Hardcover]

James H. Liu (Author, Editor), Gaston M N Guérékata (Editor), Nguyen Van Minh (Editor)

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Book Description

9812818235 978-9812818232 June 9, 2008 First Edition
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.


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Editorial Reviews

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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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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
abstract differential equations, weak spectral mapping theorem, strongly continuous evolutionary process, autonomous functional operator, automorphic solutions, periodic mild solution, precompact range, evolutionary semigroup, exponential dichotomy, ultimate bounded, evolution semigroup, sectorial operator, monodromy operator, almost periodic solutions, translation semigroup, translation invariant subspace, closed linear operator, intersect the unit circle, unique bounded solution, strongly continuous semigroup, analytic semigroup, mild solutions, uniform spectrum, finite delay, compact resolvent
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Almost Automorphic Solutions, Prove Theorem
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Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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