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Eurasian Mathematical Journal, 2016, Volume 7, Number 2, Pages 75–91 (Mi emj225)  
This article is cited in 1 scientific paper (total in 1 paper)

Abstract linear Volterra second-order integro-differential equations

D. A. Zakoraab

a Voronezh State University, 1 University Sq., 394006 Voronezh, Russia
b Department of Mathematics and Informatics, Crimean Federal University, 4 Academician Vernadsky Ave, 295007 Simferopol, Russia
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Abstract: We study a class of time-dependent linear second-order integro-differential equations with the evolution equation approach. These equations arise naturally in the study of viscoelasticity. Existence theorems for strong solutions for three classes of complete integrodifferential second-order equations are obtained.
Keywords and phrases: Volterra integro-differential equation, evolution equation, stable family of operators, $C_0$-semigroup, Cauchy problem.
Funding agency Grant number
Russian Science Foundation 14-21-00066
This work was supported by the grant of the Russian Foundation for Basic Research (project no. 14-21-00066), Voronezh State University.
Received: 27.07.2015
Bibliographic databases:
Document Type: Article
MSC: 39B42, 39B99
Language: English
Citation: D. A. Zakora, “Abstract linear Volterra second-order integro-differential equations”, Eurasian Math. J., 7:2 (2016), 75–91
Citation in format AMSBIB
\Bibitem{Zak16}
\by D.~A.~Zakora
\paper Abstract linear Volterra second-order integro-differential equations
\jour Eurasian Math. J.
\yr 2016
\vol 7
\issue 2
\pages 75--91
\mathnet{http://mi.mathnet.ru/emj225}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000391007300006}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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