Displaying similar documents to “Differences of functions in locally convex spaces and applications to almost periodic and almost automorphic functions”

Almost periodic generalized solutions of differential equations

Chikh Bouzar, Fethia Ouikene (2021)

Mathematica Bohemica

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The paper aims to study systems of linear ordinary differential equations in the context of an algebra of almost periodic generalized ultradistributions. Conditions on the existence of generalized solutions are given.

Asymptotically almost automorphic solutions of differential equations with piecewise constant argument

Hui-Sheng Ding, Shun-Mei Wan (2017)

Open Mathematics

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This paper is concerned with the existence and uniqueness of asymptotically almost automorphic solutions to differential equations with piecewise constant argument. To study that, we first introduce several notions about asymptotically almost automorphic type functions and obtain some properties of such functions. Then, on the basis of a systematic study on the associated difference system, the existence and uniqueness theorem is established. Compared with some earlier results, we do...