Titlebook: Almost Automorphic and Almost Periodic Functions in Abstract Spaces; Gaston M. N’Guerekata Book 2001 Springer Science+Business Media New Y

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Almost Automorphic and Almost Periodic Functions in Abstract Spaces978-1-4757-4482-8

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Almost Periodic Functions with Values in a Linear Topological Space,ed with elementary properties of numerical almost periodic functions (cf. [8], [39],[43], for instance). We will use the results to study almost periodicity of solutions of differential equations in locally convex spaces in Chapter 7.

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A Case of One-to-One Correspondence between Almost Automorphic and Asymptotically Almost Automorphip . = (.(.)). of bounded linear operators . → .,with sup. ||.(.)|| = M < ∞. We will study a one-to-one correspondence between almost automorphic solutions of (6.1) and asymptotically almost automorphic solutions of (6.2).

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Dragan Mili?i?,Wolfgang Soergelh values in an abstract space and its applications to abstract differential equations. We suppose that the reader is familiar with the fundamentals of Functional Analysis. However, to facilitate the understanding of the exposition, we give in the beginning, without proof, some facts of the theory of

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https://doi.org/10.1007/978-3-319-09804-3ed with elementary properties of numerical almost periodic functions (cf. [8], [39],[43], for instance). We will use the results to study almost periodicity of solutions of differential equations in locally convex spaces in Chapter 7.