Geodesic
On the problem associated with the linear peridynamic model
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 226 (2023), pp. 170-174

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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
Mots-clés : singular kernel. 
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     author = {A. V. Yuldasheva},
     title = {On the problem associated with the linear peridynamic model},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {170--174},
     publisher = {mathdoc},
     volume = {226},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2023_226_a16/}
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A. V. Yuldasheva. On the problem associated with the linear peridynamic model. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 226 (2023), pp. 170-174. http://geodesic.mathdoc.fr/item/INTO_2023_226_a16/