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Asymptotically almost automorphic solutions of differential equations with piecewise constant argument

Hui-Sheng DingShun-Mei Wan — 2017

Open Mathematics

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 not assume...

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