Asymptotically almost periodic and asymptotically almost automorphic vector-valued generalized functions
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Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (242)
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SM ISO690:2012
KOSTIC, Marko. Asymptotically almost periodic and asymptotically almost automorphic vector-valued generalized functions. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, nr. 3(91), pp. 34-53. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(91) / 2019 / ISSN 1024-7696 /ISSNe 2587-4322

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

CZU: 517.91+517.98+514.84+512.77
MSC 2010: 46F05, 43A60, 34C27.

Pag. 34-53

Kostic Marko
 
University of Novi Sad
 
 
Disponibil în IBN: 15 iulie 2020


Rezumat

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.

Cuvinte-cheie
Asymptotically almost periodic distributions, asymptotically almost periodic ultradistributions, asymptotically almost automorphic distributions, asymptotically almost automorphic ultradistributions, Banach spaces