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Eurasian Mathematical Journal, 2013, Volume 4, Number 4, Pages 64–87 (Mi emj145)  
This article is cited in 3 scientific papers (total in 4 papers)

Linear Volterra integro-differential second-order equations unresolved with respect to the highest derivative

N. D. Kopachevsky, E. V. Syomkina

Department of Mathematics and Informatics, Taurida National V. Vernadsky University, Academician Vernadsky Ave. 4, 95007 Simferopol, Ukraine
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Abstract: We consider the Cauchy problem for Volterra integro-differential secondorder linear equations which describe an evolution of dynamical systems with infinite numbers of degrees of freedom taking into account relaxation effects. Existence theorems for strong solutions for three classes of complete integro-differential second-order equations are obtained.
Keywords and phrases: Volterra integro-differential equation, $C_0$-semigroup, self-adjoint operator.
Received: 25.10.2013
Document Type: Article
MSC: 39B42, 39B99
Language: English
Citation: N. D. Kopachevsky, E. V. Syomkina, “Linear Volterra integro-differential second-order equations unresolved with respect to the highest derivative”, Eurasian Math. J., 4:4 (2013), 64–87
Citation in format AMSBIB
\Bibitem{KopSyo13}
\by N.~D.~Kopachevsky, E.~V.~Syomkina
\paper Linear Volterra integro-differential second-order equations unresolved with respect to the highest derivative
\jour Eurasian Math. J.
\yr 2013
\vol 4
\issue 4
\pages 64--87
\mathnet{http://mi.mathnet.ru/emj145}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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