On solvability of one singular equation of peridynamics

DOI10.1134/S1995080220060190zbMath1450.74001OpenAlexW3042804090MaRDI QIDQ2206715

Asal V. Yuldasheva

Publication date: 28 October 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220060190

zbMATH Keywords

regularitysingular integral operatorwell-posednessVolterra integral equationFourier seriesintegro-differential equation

Mathematics Subject Classification ID

Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74) Regularity of solutions of dynamical problems in solid mechanics (74H30) Peridynamics (74A70)

Related Items

Initial data problem for an equation related to a peridynamic model in a two-dimensional domain, Regularity and convergence results for nonlocal peridynamic equations with truncated tensor kernels

Cites Work

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