On the problems of peridynamics with special convolution kernels

DOI10.1216/JIE-2014-26-3-301zbMath1307.45006OpenAlexW1990046599MaRDI QIDQ489275

Yanzhao Cao, Shavkat A. Alimov, Onur Alp İlhan

Publication date: 20 January 2015

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1414761100

zbMATH Keywords

Volterra integral equationsperidynamicsdifferential-integral equationnonlocal modeling

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05)

Related Items (8)

Initial data problem for an equation related to a peridynamic model in a two-dimensional domain ⋮ On weak solutions for a nonlocal model with nonlocal damping term ⋮ Regularity and convergence results for nonlocal peridynamic equations with truncated tensor kernels ⋮ Well-Posedness and Convergence Analysis of a Nonlocal Model with Singular Matrix Kernel ⋮ On solvability of one singular equation of peridynamics ⋮ The linear peridynamic model in elasticity theory ⋮ On the solvability of the singular equation of peridynamics ⋮ On the solvability of the peridynamic equation with a singular kernel

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