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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2016, Volume 1, Issue 1, Pages 104–112
(Mi chfmj11)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
Abstract degenerate non-scalar Volterra equation
M. Kostić University of Novi Sad, Novi Sad, Serbia
Abstract:
In this paper, we contribute to the existing theory of abstract degenerate Volterra integro-differential equations
by investigating abstract degenerate non-scalar Volterra equations. We consider the generation of $(A,k,B)$-regularized
$C$-pseudoresolvent families in Banach spaces, as well as their analytical properties and hyperbolic perturbation results.
Keywords:
abstract degenerate differential equation, non-scalar Volterra equation, degenerate $(A,k)$-regularized $C$-pseudoresolvent family, degenerate fractional resolvent family, well-posedness.
Received: 17.07.2015 Revised: 01.02.2016
Citation:
M. Kostić, “Abstract degenerate non-scalar Volterra equation”, Chelyab. Fiz.-Mat. Zh., 1:1 (2016), 104–112
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https://www.mathnet.ru/eng/chfmj11 https://www.mathnet.ru/eng/chfmj/v1/i1/p104
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Abstract page: | 162 | Full-text PDF : | 47 | References: | 38 |
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