Topics on stability and periodicity in abstract differential equations:
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific
©2008
|
| Series: | Series on concrete and applicable mathematics
v. 6 |
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (ix, 208 pages) |
| ISBN: | 9789812818232 9789812818249 9812818243 |
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| 245 | 1 | 0 | |a Topics on stability and periodicity in abstract differential equations |c James H. Liu, Gaston M. N'Guérékata, Nguyen Van Minh |
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| 490 | 0 | |a Series on concrete and applicable mathematics |v v. 6 | |
| 500 | |a Includes bibliographical references and index | ||
| 500 | |a 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 | ||
| 500 | |a 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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| 700 | 1 | |a N'Guerekata, Gaston M. |e Sonstige |4 oth | |
| 700 | 1 | |a Minh, Nguyen Van |e Sonstige |4 oth | |
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Record in the Search Index
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| author | Liu, James Hetao |
| author_facet | Liu, James Hetao |
| author_role | aut |
| author_sort | Liu, James Hetao |
| author_variant | j h l jh jhl |
| building | Verbundindex |
| bvnumber | BV043081368 |
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| ctrlnum | (OCoLC)318879612 (DE-599)BVBBV043081368 |
| dewey-full | 515.3522 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.35 22 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043081368 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:51Z |
| institution | BVB |
| isbn | 9789812818232 9789812818249 9812818243 |
| language | English |
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| physical | 1 Online-Ressource (ix, 208 pages) |
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| publishDate | 2008 |
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| series2 | Series on concrete and applicable mathematics |
| spelling | Liu, James Hetao Verfasser aut 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-Ressource (ix, 208 pages) txt rdacontent c rdamedia cr rdacarrier 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 MATHEMATICS / Differential Equations / Ordinary bisacsh Differential equations Asymptotic theory Abstrakte Differentialgleichung (DE-588)4141144-4 gnd rswk-swf Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd rswk-swf Abstrakte Differentialgleichung (DE-588)4141144-4 s Asymptotisches Lösungsverhalten (DE-588)4134367-0 s 1\p DE-604 N'Guerekata, Gaston M. Sonstige oth Minh, Nguyen Van Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=521167 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Liu, James Hetao Topics on stability and periodicity in abstract differential equations MATHEMATICS / Differential Equations / Ordinary bisacsh Differential equations Asymptotic theory Abstrakte Differentialgleichung (DE-588)4141144-4 gnd Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd |
| subject_GND | (DE-588)4141144-4 (DE-588)4134367-0 |
| 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 | MATHEMATICS / Differential Equations / Ordinary bisacsh Differential equations Asymptotic theory Abstrakte Differentialgleichung (DE-588)4141144-4 gnd Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd |
| topic_facet | MATHEMATICS / Differential Equations / Ordinary Differential equations Asymptotic theory Abstrakte Differentialgleichung Asymptotisches Lösungsverhalten |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=521167 |
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