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Contemporary Mathematics. Fundamental Directions, 2012, Volume 45, Pages 43–61 (Mi cmfd212)  
This article is cited in 19 scientific papers (total in 19 papers)

Analysis of operator models arising in problems of hereditary mechanics

V. V. Vlasova, N. A. Rautianb, A. S. Shamaeva

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow, Russia
b Plekhanov Russian University of Economics, Faculty of Economics and Mathematics, Moscow, Russia
Full-text PDF (221 kB) Citations (19)
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Abstract: The correct solvability of initial-value problems for integrodifferential equations with unbounded operator coefficients in Hilbert spaces is determined. Numerous problems of hereditary mechanics and thermal physics have motivated the study of such equations. Models taking into account a Kelvin–Voight friction are considered. A spectral analysis of the operator functions, which are the symbols of integro-differential equations considered in this paper, is made.
English version:
Journal of Mathematical Sciences, 2014, Volume 201, Issue 5, Pages 673–692
DOI: https://doi.org/10.1007/s10958-014-2019-4
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: V. V. Vlasov, N. A. Rautian, A. S. Shamaev, “Analysis of operator models arising in problems of hereditary mechanics”, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 1, CMFD, 45, PFUR, M., 2012, 43–61; Journal of Mathematical Sciences, 201:5 (2014), 673–692
Citation in format AMSBIB
\Bibitem{VlaRauSha12}
\by V.~V.~Vlasov, N.~A.~Rautian, A.~S.~Shamaev
\paper Analysis of operator models arising in problems of hereditary mechanics
\inbook Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14--21, 2011). Part~1
\serial CMFD
\yr 2012
\vol 45
\pages 43--61
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd212}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3087050}
\transl
\jour Journal of Mathematical Sciences
\yr 2014
\vol 201
\issue 5
\pages 673--692
\crossref{https://doi.org/10.1007/s10958-014-2019-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84905895466}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Современная математика. Фундаментальные направления
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