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

Autor: Jumaev, Jonibek, Durdiev, Durdimurod, Ibragimova, Shakhnoza, Zaripov, Bekhzod
Předmět:
Zdroj: AIP Conference Proceedings; 2024, Vol. 3004 Issue 1, p1-11, 11p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index