Trudy Seminara imeni I. G. Petrovskogo
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Trudy Seminara imeni I. G. Petrovskogo, 2019, Issue 32, Pages 91–110 (Mi tsp103)  
This article is cited in 14 scientific papers (total in 14 papers)

A study of operator models arising in problems of hereditary mechanics

V. V. Vlasov, N. A. Rautian
Full-text PDF (188 kB) Citations (14)
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Abstract: We examine integro-differential equations with unbounded operator-valued coefficients. The principal part of such an equation is an abstract hyperbolic operator perturbed by Volterra integral operators whose kernels are fractional exponential functions of the type occurring in viscoelasticity.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-6222.2018.1
Russian Science Foundation 17-11-01215
English version:
Journal of Mathematical Sciences (New York), 2020, Volume 244, Issue 2, Pages 170–182
DOI: https://doi.org/10.1007/s10958-019-04612-3
Bibliographic databases:
Document Type: Article
UDC: 517.968.72
Language: Russian
Citation: V. V. Vlasov, N. A. Rautian, “A study of operator models arising in problems of hereditary mechanics”, Tr. Semim. im. I. G. Petrovskogo, 32, 2019, 91–110; J. Math. Sci. (N. Y.), 244:2 (2020), 170–182
Citation in format AMSBIB
\Bibitem{VlaRau19}
\by V.~V.~Vlasov, N.~A.~Rautian
\paper A study of operator models arising in problems of hereditary mechanics
\serial Tr. Semim. im. I.~G.~Petrovskogo
\yr 2019
\vol 32
\pages 91--110
\mathnet{http://mi.mathnet.ru/tsp103}
\elib{https://elibrary.ru/item.asp?id=43210963}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2020
\vol 244
\issue 2
\pages 170--182
\crossref{https://doi.org/10.1007/s10958-019-04612-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85075920713}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :73
    References:26
     
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