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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2021, Volume 37, Number 4, Pages 45–52
DOI: https://doi.org/10.26117/2079-6641-2021-37-4-45-52 (Mi vkam508) 		 
MATHEMATICS

Initial data problem for an equation related to a peridynamic model in a two-dimensional domain

A. V. Yuldasheva

M.V. Lomonosov Moscow State University Tashkent Branch
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DOI: https://doi.org/10.26117/2079-6641-2021-37-4-45-52
Abstract: In this paper the uniqueness and existence of a solution of Cauchy problem for an integro-differential equation associated with a peridynamic model of solid mechanics in a two-dimensional domain are proved.
Keywords: integro-differential equation, peridynamic, integral operator, Fourier method, Sobolev space.
Funding agency Grant number
Ministry of Innovative Development of the Republic of Uzbekistan ФЗ-2020093065
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: innovative development of Republic of Uzbekistan.
Document Type: Article
UDC: 519.2
MSC: 60J80
Language: Russian
Citation: A. V. Yuldasheva, “Initial data problem for an equation related to a peridynamic model in a two-dimensional domain”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 37:4 (2021), 45–52
Citation in format AMSBIB
\Bibitem{Yul21}
\by A.~V.~Yuldasheva
\paper Initial data problem for an equation related to a peridynamic model in a two-dimensional domain
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2021
\vol 37
\issue 4
\pages 45--52
\mathnet{http://mi.mathnet.ru/vkam508}
\crossref{https://doi.org/10.26117/2079-6641-2021-37-4-45-52}
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