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Asymptotically almost automorphic solutions of differential equations with piecewise constant argument

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Ding H.-S., Wan S.-M.

Open Mathematics

2017

tom 15

nr 1

595-610

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 directly that the Green’s function is a Bi-almost automorphic type function.

Ograniczanie wyników

1 Open Mathematics

1 Ding H.-S.

1 Wan S.-M.

1 2017

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Asymptotically almost automorphic solutions of differential equations with piecewise constant argument