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AuthorOstrovskii, Alexander G. author
TitleAlmost Automorphic and Almost Periodic Functions in Abstract Spaces [electronic resource] / by Gaston M. N'Guerekata
ImprintBoston, MA : Springer US : Imprint: Springer, 2001
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Descript X, 138 p. online resource


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

Mathematics Functional analysis Operator theory Differential equations Partial differential equations Special functions Mathematics Ordinary Differential Equations Functional Analysis Partial Differential Equations Special Functions Operator Theory


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