2023
DOI: 10.13108/2023-15-2-119
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Inverse problem on determining two kernels in integro-differential equation of heat flow

Durdimurod Kalandarovich Durdiev,
Jonibek Jamolovich Jumayev,
Dilshod Dilmurodovich Atoev

Abstract: We study the inverse problem on determining the energy-temperature relation 𝜒(𝑡) and the heat conduction relation 𝑘(𝑡) functions in the one-dimensional integrodifferential heat equation. The direct problem is an initial-boundary value problem for this equation with the Dirichlet boundary conditions. The integral terms involve the time convolution of unknown kernels and a direct problem solution. As an additional information for solving inverse problem, the solution of the direct problem for 𝑥 = 𝑥 0 and �… Show more

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