Verfügbarkeit: Topics on stability and periodicity in abstract differential equations /

Topics on stability and periodicity in abstract differential equations /:

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...

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Bibliographische Detailangaben
1. Verfasser:	Liu, James Hetao (VerfasserIn)
Weitere Verfasser:	N'Guerekata, Gaston M., 1953-, Minh, Nguyen Van
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Singapore : World Scientific, ©2008.
Schriftenreihe:	Series on concrete and applicable mathematics ; v. 6.
Schlagworte:	Differential equations > Asymptotic theory. Équations différentielles > Théorie asymptotique. MATHEMATICS > Differential Equations > Ordinary. Differential equations > Asymptotic theory
Online-Zugang:	Volltext
Zusammenfassung:	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.
Beschreibung:	1 online resource (ix, 208 pages) : illustrations
Bibliographie:	Includes bibliographical references and index.
ISBN:	9812818243 9789812818249

Internformat

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contents	1. Preliminaries. 1.1. Banach spaces and linear operators. 1.2. Strongly continuous semigroups of operators. 1.3. Spectral theory -- 2. Stability and exponential dichotomy. 2.1. Perron theorem. 2.2. Evolution semigroups and Perron theorem. 2.3. Stability theory. 2.4. Comments and further reading guide -- 3. Almost periodic solutions. 3.1. Evolution semigroups & periodic equations. 3.2. Sums of commuting operators. 3.3. Decomposition theorem. 3.4. Comments and further reading guide -- 4. Almost automorphic solutions. 4.1. The inhomogeneous linear equation. 4.2. Method of invariant subspaces and almost automorphic solutions of second-order differential equations. 4.3. Existence of almost automorphic solutions to semilinear differential equations. 4.4. Method of sums of commuting operators and almost automorphic functions. 4.5. Almost automorphic solutions of second order evolution equations. 4.6. The equations x'=f(t, x). 4.7. Comments and further reading guide -- 5. Nonlinear equations. 5.1. Periodic solutions of nonlinear equations. 5.2. Evolution semigroups and almost periodic solutions. 5.3. Comments and further reading guide.
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series2	Series on concrete and applicable mathematics ;
spelling	Liu, James Hetao, author http://id.loc.gov/vocabulary/relators/aut http://id.loc.gov/authorities/names/n2002159664 Topics on stability and periodicity in abstract differential equations / James H. Liu, Gaston M. N'Guérékata, Nguyen Van Minh. Singapore : World Scientific, ©2008. 1 online resource (ix, 208 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Bibliography Series on concrete and applicable mathematics ; v. 6 Includes bibliographical references and index. 1. Preliminaries. 1.1. Banach spaces and linear operators. 1.2. Strongly continuous semigroups of operators. 1.3. Spectral theory -- 2. Stability and exponential dichotomy. 2.1. Perron theorem. 2.2. Evolution semigroups and Perron theorem. 2.3. Stability theory. 2.4. Comments and further reading guide -- 3. Almost periodic solutions. 3.1. Evolution semigroups & periodic equations. 3.2. Sums of commuting operators. 3.3. Decomposition theorem. 3.4. Comments and further reading guide -- 4. Almost automorphic solutions. 4.1. The inhomogeneous linear equation. 4.2. Method of invariant subspaces and almost automorphic solutions of second-order differential equations. 4.3. Existence of almost automorphic solutions to semilinear differential equations. 4.4. Method of sums of commuting operators and almost automorphic functions. 4.5. Almost automorphic solutions of second order evolution equations. 4.6. The equations x'=f(t, x). 4.7. Comments and further reading guide -- 5. Nonlinear equations. 5.1. Periodic solutions of nonlinear equations. 5.2. Evolution semigroups and almost periodic solutions. 5.3. Comments and further reading guide. 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. Print version record. Differential equations Asymptotic theory. http://id.loc.gov/authorities/subjects/sh85037891 Équations différentielles Théorie asymptotique. MATHEMATICS Differential Equations Ordinary. bisacsh Differential equations Asymptotic theory fast N'Guerekata, Gaston M., 1953- https://id.oclc.org/worldcat/entity/E39PBJrm6pJCyRdPBMYbV7Vpyd http://id.loc.gov/authorities/names/n2001014650 Minh, Nguyen Van. Print version: Liu, James Hetao. Topics on stability and periodicity in abstract differential equations. Singapore : World Scientific, ©2008 (DLC) 2008300480 Series on concrete and applicable mathematics ; v. 6. http://id.loc.gov/authorities/names/no2001065027 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=521167 Volltext
spellingShingle	Liu, James Hetao Topics on stability and periodicity in abstract differential equations / Series on concrete and applicable mathematics ; 1. Preliminaries. 1.1. Banach spaces and linear operators. 1.2. Strongly continuous semigroups of operators. 1.3. Spectral theory -- 2. Stability and exponential dichotomy. 2.1. Perron theorem. 2.2. Evolution semigroups and Perron theorem. 2.3. Stability theory. 2.4. Comments and further reading guide -- 3. Almost periodic solutions. 3.1. Evolution semigroups & periodic equations. 3.2. Sums of commuting operators. 3.3. Decomposition theorem. 3.4. Comments and further reading guide -- 4. Almost automorphic solutions. 4.1. The inhomogeneous linear equation. 4.2. Method of invariant subspaces and almost automorphic solutions of second-order differential equations. 4.3. Existence of almost automorphic solutions to semilinear differential equations. 4.4. Method of sums of commuting operators and almost automorphic functions. 4.5. Almost automorphic solutions of second order evolution equations. 4.6. The equations x'=f(t, x). 4.7. Comments and further reading guide -- 5. Nonlinear equations. 5.1. Periodic solutions of nonlinear equations. 5.2. Evolution semigroups and almost periodic solutions. 5.3. Comments and further reading guide. Differential equations Asymptotic theory. http://id.loc.gov/authorities/subjects/sh85037891 Équations différentielles Théorie asymptotique. MATHEMATICS Differential Equations Ordinary. bisacsh Differential equations Asymptotic theory fast
subject_GND	http://id.loc.gov/authorities/subjects/sh85037891
title	Topics on stability and periodicity in abstract differential equations /
title_auth	Topics on stability and periodicity in abstract differential equations /
title_exact_search	Topics on stability and periodicity in abstract differential equations /
title_full	Topics on stability and periodicity in abstract differential equations / James H. Liu, Gaston M. N'Guérékata, Nguyen Van Minh.
title_fullStr	Topics on stability and periodicity in abstract differential equations / James H. Liu, Gaston M. N'Guérékata, Nguyen Van Minh.
title_full_unstemmed	Topics on stability and periodicity in abstract differential equations / James H. Liu, Gaston M. N'Guérékata, Nguyen Van Minh.
title_short	Topics on stability and periodicity in abstract differential equations /
title_sort	topics on stability and periodicity in abstract differential equations
topic	Differential equations Asymptotic theory. http://id.loc.gov/authorities/subjects/sh85037891 Équations différentielles Théorie asymptotique. MATHEMATICS Differential Equations Ordinary. bisacsh Differential equations Asymptotic theory fast
topic_facet	Differential equations Asymptotic theory. Équations différentielles Théorie asymptotique. MATHEMATICS Differential Equations Ordinary. Differential equations Asymptotic theory
url	https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=521167
work_keys_str_mv	AT liujameshetao topicsonstabilityandperiodicityinabstractdifferentialequations AT nguerekatagastonm topicsonstabilityandperiodicityinabstractdifferentialequations AT minhnguyenvan topicsonstabilityandperiodicityinabstractdifferentialequations

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