Solution of the integro-differential equation of viscoelasticity in a bounded domain

DOI10.29229/UZMJ.2022-2-15OpenAlexW4292877185WikidataQ114040157 ScholiaQ114040157MaRDI QIDQ5885488

Author name not available (Why is that?)

Publication date: 3 April 2023

Published in: Uzbek Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.29229/uzmj.2022-2-15

zbMATH Keywords

contraction mapping principleintegro-differential equationstress functiondisplacement functionviscoelasticity equationLame coefficient

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (45K05) Second-order hyperbolic equations (35L10) Volterra integral equations (45D05) Integral equations with kernels of Cauchy type (45E05) Generalized solutions to partial differential equations (35D99)

Related Items (7)

Solutions to the Equations of One-Dimensional Viscoelasticity in BV ⋮ Upper and lower solution estimates in unilateral viscoelastodynamics ⋮ Solvability of some integral equations in Banach space and their applications to the theory of viscoelasticity ⋮ A generalization of \(Mv\) integral to axisymmetric problems for viscoelastic materials ⋮ Title not available (Why is that?) ⋮ The effective solution of two-dimensional integro-differential equations and their applications in the theory of viscoelasticity ⋮ Generalization of the freezing method to certain classes of integral equations of viscoelasticity

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