Initial data problem for an equation related to a peridynamic model in a two-dimensional domain
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 37 (2021) no. 4, pp. 45-52
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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.
@article{VKAM_2021_37_4_a5,
author = {A. V. Yuldasheva},
title = {Initial data problem for an equation related to a peridynamic model in a two-dimensional domain},
journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
pages = {45--52},
publisher = {mathdoc},
volume = {37},
number = {4},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VKAM_2021_37_4_a5/}
}
TY - JOUR AU - A. V. Yuldasheva TI - Initial data problem for an equation related to a peridynamic model in a two-dimensional domain JO - Vestnik KRAUNC. Fiziko-matematičeskie nauki PY - 2021 SP - 45 EP - 52 VL - 37 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VKAM_2021_37_4_a5/ LA - ru ID - VKAM_2021_37_4_a5 ER -
%0 Journal Article %A A. V. Yuldasheva %T Initial data problem for an equation related to a peridynamic model in a two-dimensional domain %J Vestnik KRAUNC. Fiziko-matematičeskie nauki %D 2021 %P 45-52 %V 37 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/VKAM_2021_37_4_a5/ %G ru %F VKAM_2021_37_4_a5
A. V. Yuldasheva. Initial data problem for an equation related to a peridynamic model in a two-dimensional domain. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 37 (2021) no. 4, pp. 45-52. http://geodesic.mathdoc.fr/item/VKAM_2021_37_4_a5/