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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2016, Volume 1, Issue 1, Pages 104–112 (Mi chfmj11)  
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
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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.
Funding agency Grant number
Ministry of Education, Science and Technical Development of Serbia 174024
The author is partially supported by grant 174024 of Ministry of Science and Technological Development, Republic of Serbia.
Received: 17.07.2015
Revised: 01.02.2016
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: English
Citation: M. Kostić, “Abstract degenerate non-scalar Volterra equation”, Chelyab. Fiz.-Mat. Zh., 1:1 (2016), 104–112
Citation in format AMSBIB
\Bibitem{Kos16}
\by M.~Kosti\'c
\paper Abstract degenerate non-scalar Volterra equation
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2016
\vol 1
\issue 1
\pages 104--112
\mathnet{http://mi.mathnet.ru/chfmj11}
\elib{https://elibrary.ru/item.asp?id=27541611}
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    • This publication is cited in the following 1 articles:
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