Ebook: Almost Automorphic and Almost Periodic Functions in Abstract Spaces
Author: Gaston M. N’Guerekata (auth.)
- Tags: Ordinary Differential Equations, Functional Analysis, Partial Differential Equations, Special Functions, Operator Theory
- Year: 2001
- Publisher: Springer US
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages i-x
Introduction and Preliminaries....Pages 1-10
Almost Automorphic Functions with Values in a Banach Space....Pages 11-49
Almost Periodic Functions with Values in a Linear Topological Space....Pages 51-68
The Equation x? (t) = Ax(t) + f(t)....Pages 69-88
The Equation x? = f (t, x)....Pages 89-92
A Case of One-to-One Correspondence between Almost Automorphic and Asymptotically Almost Automorphic Solutions....Pages 93-97
Almost Periodic Solutions of the Equation x? = Ax + f in Locally Convex Spaces....Pages 99-111
Almost Periodic Solutions of Differential Equations in Normed Spaces....Pages 113-130
Back Matter....Pages 131-138
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.
Content:
Front Matter....Pages i-x
Introduction and Preliminaries....Pages 1-10
Almost Automorphic Functions with Values in a Banach Space....Pages 11-49
Almost Periodic Functions with Values in a Linear Topological Space....Pages 51-68
The Equation x? (t) = Ax(t) + f(t)....Pages 69-88
The Equation x? = f (t, x)....Pages 89-92
A Case of One-to-One Correspondence between Almost Automorphic and Asymptotically Almost Automorphic Solutions....Pages 93-97
Almost Periodic Solutions of the Equation x? = Ax + f in Locally Convex Spaces....Pages 99-111
Almost Periodic Solutions of Differential Equations in Normed Spaces....Pages 113-130
Back Matter....Pages 131-138
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