On the topological structure of almost automorphic and asymptotically almost automorphic solutions of differential and integral equations in abstract spaces
The main purpose of this paper is to deal with almost automorphic and asymptotically almost automorphic solutions of the initial value problem as well as the nonlinear Volterra integral equation in Banach spaces. We obtain a collection of existence results of such solutions to these equations. We in...
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| Published in: | Nonlinear analysis Vol. 59; no. 8; pp. 1333 - 1345 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier Ltd
01.12.2004
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| Subjects: | |
| ISSN: | 0362-546X, 1873-5215 |
| Online Access: | Get full text |
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| Summary: | The main purpose of this paper is to deal with almost automorphic and asymptotically almost automorphic solutions of the initial value problem as well as the nonlinear Volterra integral equation in Banach spaces. We obtain a collection of existence results of such solutions to these equations. We investigate also a topological structure of such solution sets. Moreover, we prove Aronszajn-type theorems for solutions of the initial value problem as well as the nonlinear Volterra integral equation, defined on the whole real line. |
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| Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| ISSN: | 0362-546X 1873-5215 |
| DOI: | 10.1016/j.na.2003.08.012 |