Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 226, Pages 170–174
DOI: https://doi.org/10.36535/0233-6723-2023-226-170-174 (Mi into1212) 		 
On the problem associated with the linear peridynamic model

A. V. Yuldasheva

Tashkent branch of Moscow State University named after L. V. Lomonosov
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DOI: https://doi.org/10.36535/0233-6723-2023-226-170-174
Abstract: The uniqueness and existence of a solution to the Cauchy problem for an integro-differential equation associated with a linear peridynamic model in the mechanics of a rigid body with nonlinear elastic properties are proved.
Keywords: integro-differential equation, Cauchy problem, peridynamics, singular kernel.
Funding agency Grant number
Ministry of Innovative Development of the Republic of Uzbekistan F-FA-2021-424
The work was supported by the Ministry of Innovative Development of the Republic of Uzbekistan, (project No. F-FA-2021-424).
Document Type: Article
UDC: 517.968.73
MSC: 45K05, 47G20
Language: Russian
Citation: A. V. Yuldasheva, “On the problem associated with the linear peridynamic model”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 226, VINITI, Moscow, 2023, 170–174
Citation in format AMSBIB
\Bibitem{Yul23}
\by A.~V.~Yuldasheva
\paper On the problem associated with the linear peridynamic model
\inbook Differential Equations and Mathematical Physics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 226
\pages 170--174
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1212}
\crossref{https://doi.org/10.36535/0233-6723-2023-226-170-174}
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