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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 6, Pages 56–60 (Mi ivm8712)  
This article is cited in 6 scientific papers (total in 6 papers)

Brief communications

Integrodifferential equations in viscoelasticity theory

V. V. Vlasova, N. A. Rautianb

a Chair of Mathematical Analysis, Moscow State University, Moscow, Russia
b Chair of Higher Mathematics, Plekhanov Russian State University, Moscow, Russia
Full-text PDF (165 kB) Citations (6)
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Abstract: We prove the correct solvability of the initial problems for integrodifferential equations with unbounded operator coefficients in Hilbert spaces. Such equations occur in many problems of the theory of viscoelasticity with memory and the heat transfer theory.
Keywords: integrodifferential equations, operator functions, correct solvability.
Presented by the member of Editorial Board: V. P. Maksimov
Received: 30.11.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 6, Pages 48–51
DOI: https://doi.org/10.3103/S1066369X12060060
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: V. V. Vlasov, N. A. Rautian, “Integrodifferential equations in viscoelasticity theory”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 6, 56–60; Russian Math. (Iz. VUZ), 56:6 (2012), 48–51
Citation in format AMSBIB
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\by V.~V.~Vlasov, N.~A.~Rautian
\paper Integrodifferential equations in viscoelasticity theory
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 6
\pages 56--60
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3076921}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 6
\pages 48--51
\crossref{https://doi.org/10.3103/S1066369X12060060}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866269684}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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