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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 1623–1632
DOI: https://doi.org/10.33048/semi.2019.16.113 (Mi semr1155) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Differentical equations, dynamical systems and optimal control

Asymptotic solutions of integro-differential equations with partial derivatives and with rapidly varying kernel

B. T. Kalimbetova, N. A. Pardaevab, L. D. Sharipovac

a Akhmed Yasawi University, 29, B. Sattarkhanov ave., Turkestan, 161200, Kazakhstan
b Tashkent University of Information Technologies, 108, Amir Temur str., Tashkent, 100200, Uzbekistan
c Tashkent Institute of Railway Engineers, 1, Adylkhodjaev str., Tashkent, 100067, Uzbekistan
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DOI: https://doi.org/10.33048/semi.2019.16.113
Abstract: In the paper, ideas of the Lomov regularization method are generalized to the Cauchy problem for a singularly perturbed partial integro-differential equation in the case when the integral term contains a rapidly varying kernel. Regularization of the problem is carried out, the normal and unique solvability of general iterative problems is proved.
Keywords: singularly perturbed, partial integro differential equation, regularization of an integral, solvability of iterative problems.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP05133858
The work is supported by MES RK (grant AP05133858).
Received February 7, 2019, published November 15, 2019
Bibliographic databases:
Document Type: Article
UDC: 517.538
MSC: 35F10
Language: English
Citation: B. T. Kalimbetov, N. A. Pardaeva, L. D. Sharipova, “Asymptotic solutions of integro-differential equations with partial derivatives and with rapidly varying kernel”, Sib. Èlektron. Mat. Izv., 16 (2019), 1623–1632
Citation in format AMSBIB
\Bibitem{KalParSha19}
\by B.~T.~Kalimbetov, N.~A.~Pardaeva, L.~D.~Sharipova
\paper Asymptotic solutions of integro-differential equations with partial derivatives and with rapidly varying kernel
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 1623--1632
\mathnet{http://mi.mathnet.ru/semr1155}
\crossref{https://doi.org/10.33048/semi.2019.16.113}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000496755800002}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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