The problem of finding the kernels in the system of integro-differential acoustics equations

DOI10.47910/femj202317OpenAlexW4397294608MaRDI QIDQ6153315

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Publication date: 13 February 2024

Full work available at URL: http://mathnet.ru/eng/dvmg518

zbMATH Keywords

contraction mapping principleintegral equationhyperbolic systemsystem of acoustics equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory to differential and integral equations (47N20) Inverse problems for integral equations (45Q05)

Cites Work

• Realization of servo-constraints by electromechanical servosystems
• The problem of finding the one-dimensional kernel of the thermoviscoelasticity equation
• Inverse problem for an integro-differential equation of acoustics
• The problem of determining the one-dimensional kernel of viscoelasticity equation with a source of explosive type
• Numerical method for determining the dependence of the dielectric permittivity on the frequency in the equation of electrodynamics with memory
• An identification problem related to a nonlinear hyperbolic integro-differential equation
• 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
• The problem of finding the kernels in the system
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