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IMCS/Publications/BASM/Issues/BASM n.3(91), 2019/

Asymptotically almost periodic and asymptotically almost automorphic vector-valued generalized functions

Authors: Marko Kostić

Abstract

The main purpose of this paper is to introduce the notion of an asymptotically almost periodic ultradistribution and asymptotically almost automorphic ultradistribution with values in a Banach space, as well as to further analyze the classes of asymptotically almost periodic and asymptotically almost automorphic distributions with values in a Banach space. We provide some applications of the introduced concepts in the analysis of systems of ordinary differential equations.

Faculty of Technical Sciences, University of Novi Sad, Trg
D. Obradovića 6, 21125 Novi Sad, Serbia
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