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S -ALMOST AUTOMORPHIC FUNCTIONS AND APPLICATIONS

Abstract : For a set S of real numbers we introduce the concept of S-almost automorphic functions valued in a Banach space. It generalizes in particular the one of Z-almost automorphic functions. This enables us to study the existence of almost automorphic solutions of a differential equation with piecewise constant argument of generalized type.
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https://hal.archives-ouvertes.fr/hal-03014691
Contributor : Vincent Valmorin <>
Submitted on : Thursday, November 19, 2020 - 3:26:09 PM
Last modification on : Saturday, November 21, 2020 - 3:21:21 AM

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  • HAL Id : hal-03014691, version 1

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W Dimbour, V Valmorin. S -ALMOST AUTOMORPHIC FUNCTIONS AND APPLICATIONS. 2020. ⟨hal-03014691⟩

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