Article

Inverse problem of determining the coefficient and kernel in an integro - differential equation of parabolic type

Jonibek JumaevBukhara State University, 11, M.Ikbal street, Bukhara 200100, UzbekistanD. K. DurdievBukhara State University, 11, M.Ikbal street, Bukhara 200100, UzbekistanShakhnoza IbragimovaBukhara State University, 11, M.Ikbal street, Bukhara 200100, UzbekistanBekhzod ZaripovBukhara State University, 11, M.Ikbal street, Bukhara 200100, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

This article is concerned with the study of the unique solvability of inverse boundary value problem for integro-differential heat equation. To study the solvability of the inverse problem, we first reduce the considered problem to an auxiliary system with trivial data and prove its equivalence (in a certain sense) to the original problem. Then using the Banach fixed point principle, the existence and uniqueness of a solution to this system is shown.

Topics

Numerical methods in inverse problems Advanced Mathematical Modeling in Engineering Differential Equations and Boundary Problems

Identifiers

DOI: 10.1063/5.0199968

Citations and references

Cited by 036 references

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