On the Solvability of the Peridynamic Equation with a SingularKernel

We prove the existence and uniqueness of the solution of the Cauchy problem for an integro-differential equation related to the peridynamic model in mechanics of solids.

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Bibliographic Details
Published in:Differential equations 2021-01, Vol.57 (3), p.353-365
Main Authors: Alimov, Sh A, Yuldasheva, A V
Format: Article
Language:English
Subjects:
Cauchy problems
Differential equations
Mathematics
Online Access:Get full text
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Description
Summary:We prove the existence and uniqueness of the solution of the Cauchy problem for an integro-differential equation related to the peridynamic model in mechanics of solids.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266121030083