A. V. Yuldasheva, “Initial data problem for an equation related to a peridynamic model in a two-dimensional domain”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2021, Volume 37, Number 4,Pages <nobr>45

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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

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.

UDC: 519.2

MSC: 60J80

DOI: 10.26117/2079-6641-2021-37-4-45-52