The problem of determining kernels in a two-dimensional system of viscoelasticity equations

DOI10.26516/1997-7670.2023.43.31OpenAlexW4327648042MaRDI QIDQ2700510

Asliddin A. Boltaev, Durdimurod K. Durdiev

Publication date: 27 April 2023

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1439

zbMATH Keywords

contraction mapping principleintegral equationhyperbolic systeminitial-boundary problemsystem of viscoelasticity equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) PDEs in connection with mechanics of deformable solids (35Q74) Inverse problems for integral equations (45Q05)

Cites Work

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• On the determination of the coefficients in the viscoelasticity equations
• On solvability in the class of distributions of degenerate integro-differential equations in Banach spaces
• The problem of determining the one-dimensional kernel of viscoelasticity equation with a source of explosive type
• One-dimensional inverse coefficient problems of anisotropic viscoelasticity
• An identification problem related to a nonlinear hyperbolic integro-differential equation
• An inverse problem for the system of viscoelasticity equations in homogeneous anisotropic media
• The problem of determining the 2D-kernel in a system of integro-differential equations of a viscoelastic porous medium
• A 2D kernel determination problem in a visco‐elastic porous medium with a weakly horizontally inhomogeneity
• Stability estimates for the solution to the problem of determining the kernel of a viscoelastic equation

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