Almost Automorphic and Almost Periodic Functions in Abstract Spaces

Gaston M. N'Guérékata (Autor)

Buch | Softcover

138 Seiten

2010 | Softcover reprint of the original 1st ed. 2001
Springer-Verlag New York Inc.
978-1-4419-3373-7 (ISBN)

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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.

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.

Erscheint lt. Verlag	1.12.2010
Zusatzinfo	X, 138 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	152 x 229 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	1-4419-3373-5 / 1441933735
ISBN-13	978-1-4419-3373-7 / 9781441933737
Zustand	Neuware