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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2020, Volume 32, Number 3, Pages 127–134
DOI: https://doi.org/10.26117/2079-6641-2020-32-3-127-134 (Mi vkam424) 		 
MATHEMATICS

On solvability of nonlinear integro-differential equation

A. V. Yuldasheva

Tashkent Branch of Lomonosov Moscow State University
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DOI: https://doi.org/10.26117/2079-6641-2020-32-3-127-134
Abstract: In this paper we consider initial problem for nonlinear integro-differential equation related to peridynamic model. The existence and uniqueness of solution are proved.
Keywords: integro-differential equation, peridynamic, Fourier transform, Sobolev space.
Funding agency Grant number
Ministry of innovational development of the Republic of Uzbekistan ОТ-Ф-4-(36+32)
ОТФ-4-(88)
The name of the funding programme: This work was supported by Fund of innovative development of Republic of Uzbekistan OTF4-(88) and OT-F4-(36/32). Organization that has provided funding: Fund of innovative development of Republic of Uzbekistan.
Document Type: Article
UDC: 519.2
MSC: 45K05
Language: Russian
Citation: A. V. Yuldasheva, “On solvability of nonlinear integro-differential equation”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 32:3 (2020), 127–134
Citation in format AMSBIB
\Bibitem{Yul20}
\by A.~V.~Yuldasheva
\paper On solvability of nonlinear integro-differential equation
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2020
\vol 32
\issue 3
\pages 127--134
\mathnet{http://mi.mathnet.ru/vkam424}
\crossref{https://doi.org/10.26117/2079-6641-2020-32-3-127-134}
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