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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2020, Volume 5, Issue 4(1), Pages 415–427
DOI: https://doi.org/10.47475/2500-0101-2020-15403 (Mi chfmj198) 		 
Mathematics

Asymptotically $(w,c)$-almost periodic type solutions of abstract degenerate non-scalar Volterra equations

M. Kostića, V. E. Fedorovb

a Novi Sad University, Novi Sad, Serbia
b Chelyabinsk State University, Chelyabinsk, Russia
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DOI: https://doi.org/10.47475/2500-0101-2020-15403
Abstract: We analyze asymptotically $(w, c)$-almost periodic type solutions of abstract degenerate non-scalar Volterra equations in Banach spaces. In order to do that, we primarily consider the exponentially decaying rate of $(A, k, B)$-regularized $C$-pseudoresolvent families. We illustrate the obtained results with some examples and possible applications.
Keywords: asymptotically $(w,c)$-almost periodic function, asymptotically $(w, c)$-almost automorphic function, abstract degenerate non-scalar Volterra equation.
Received: 05.07.2020
Revised: 20.09.2020
Document Type: Article
UDC: 517.95+517.98
Language: English
Citation: M. Kostić, V. E. Fedorov, “Asymptotically $(w,c)$-almost periodic type solutions of abstract degenerate non-scalar Volterra equations”, Chelyab. Fiz.-Mat. Zh., 5:4(1) (2020), 415–427
Citation in format AMSBIB
\Bibitem{KosFed20}
\by M.~Kosti\'c, V.~E.~Fedorov
\paper Asymptotically $(w,c)$-almost periodic type solutions of abstract degenerate non-scalar Volterra equations
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2020
\vol 5
\issue 4(1)
\pages 415--427
\mathnet{http://mi.mathnet.ru/chfmj198}
\crossref{https://doi.org/10.47475/2500-0101-2020-15403}
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