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

Marko Kostić

Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2019), pp. 34-53.

Résumé

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.

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