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517.91+517.98+514.84+512.77 (1) |
Дифференциальные, интегральные и другие функциональные уравнения. Конечные разности. Вариационное исчисление. Функциональный анализ (242) |
Геометрия (103) |
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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 | ||||||
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CZU: 517.91+517.98+514.84+512.77 | ||||||
MSC 2010: 46F05, 43A60, 34C27. | ||||||
Pag. 34-53 | ||||||
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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. |
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Cuvinte-cheie Asymptotically almost periodic distributions, asymptotically almost periodic ultradistributions, asymptotically almost automorphic distributions, asymptotically almost automorphic ultradistributions, Banach spaces |
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