Inverse problem for a first-order hyperbolic system with memory

DOI10.1134/S00122661200120125zbMath1464.45026OpenAlexW3121505334MaRDI QIDQ2221951

Kh. Kh. Turdiev, D. K. Durdiev

Publication date: 3 February 2021

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s00122661200120125

zbMATH Keywords

contraction mapping principleintegro-differential equationsfirst-order hyperbolic systemconvolution-type integral term

Mathematics Subject Classification ID

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Systems of nonlinear integral equations (45G15) Systems of nonsingular linear integral equations (45F05) Inverse problems for integral equations (45Q05)

Related Items (4)

The problem of finding the kernels in the system ⋮ Обратная задача для вязкоупругой системы в вертикально-слоистой среде ⋮ Inverse coefficient problem for a fractional-diffusion equation with a Bessel operator ⋮ Inverse coefficient problems for a time-fractional wave equation with the generalized Riemann-Liouville time derivative

Cites Work

• Inverse problems for the heat equation with memory
• The problem of finding the one-dimensional kernel of the thermoviscoelasticity equation
• Inverse problem for an integro-differential equation of acoustics
• Inverse problem of determining the kernel in an integro-differential equation of parabolic type
• An inverse problem for identification of a time- and space-dependent memory kernel in viscoelasticity
• Stability estimates for the solution to the problem of determining the kernel of a viscoelastic equation
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