Almost automorphic and almost periodic functions in abstract spaces

著者

• N'Guerekata, Gaston M.

書誌事項

Almost automorphic and almost periodic functions in abstract spaces

Gaston M. N'Guerekata

Kluwer Academic Publishers, c2001

注記

Includes bibliographical references (p. 131-135) and index

内容説明・目次

内容説明

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.

目次

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.

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詳細情報

• NII書誌ID(NCID): BA55532465
• ISBN:
  • 0306466864
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: x, 138 p.
• 大きさ: 24 cm