On the problem associated with the linear peridynamic model

A. V. Yuldasheva

Tashkent branch of Moscow State University named after L. V. Lomonosov

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.

UDC: 517.968.73

MSC: 45K05, 47G20

DOI: 10.36535/0233-6723-2023-226-170-174