Almost Automorphic and Almost Periodic Functions in Abstract Spaces - Brossura

N'Guérékata, Gaston M. M.

Brossura

ISBN 10: 1441933735 ISBN 13: 9781441933737

Casa editrice: Springer, 2010

Riassunto

Almost Automorphic and Almost Periodic Functions in Abstract Spaces introduces and develops the theory of almost automorphic vector-valued functions in Bochner's sense and the study of almost periodic functions in a locally convex space in a homogenous and unified manner. It also applies the results obtained to study almost automorphic solutions of abstract differential equations, expanding the core topics with a plethora of groundbreaking new results and applications. For the sake of clarity, and to spare the reader unnecessary technical hurdles, the concepts are studied using classical methods of functional analysis.

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Contenuti

1. Introduction and Preliminaries. 2. Almost Automorphic Functions with Values in a Banach Space. 3. Almost Periodic Functions with Values in a Linear Topological Space. 4. The Equation x'(t) = Ax(t) + f(t).5. The Equation x' = f(t,x). 6. A Case of One-to-One Correspondence between Almost Automorphic and Asymptotically Almost Automorphic Solutions. 7. Almost Periodic Solutions of the Equation x' = Ax + f in Locally Convex Spaces. 8. Almost Periodic Solutions of Differential Equations in Normed Spaces. References. Index.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 1441933735
• ISBN 13: 9781441933737
• Rilegatura: Copertina flessibile
• Numero di pagine: 152
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