MATHEMATICS

On solvability of nonlinear integro-differential equation

A. V. Yuldasheva

Tashkent Branch of Lomonosov Moscow State University

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.

UDC: 519.2

MSC: 45K05

DOI: 10.26117/2079-6641-2020-32-3-127-134