Gaston M. N'Guérékata

Almost Automorphic and Almost Periodic Functions in Abstract Spaces (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 138
• Erscheinungstermin: 17. April 2013
• Englisch
• ISBN-13: 9781475744828
• Artikelnr.: 44179657

Inhaltsangabe

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.