Статья

Questions of well-posedness of inverse problems for determining the right-hand side of a one-dimensional parabolic equation

D. K. DurdievV.I. Romanovsky Institute of Mathematics of the Academy of Sciences of Uzbekistan; Bukhara State University

Izvestiya Vysshikh Uchebnykh Zavedenii Matematikajournal2026

ABI

Аннотация

In this paper, we study inverse problems of finding the right-hand side of a one-dimensional parabolic equation using additionally specified integral conditions regarding the solution of the first initial-boundary value problem for this equation. Sufficient conditions for the given functions are found, under which the stated tasks are correct. Using the Fourier method and integral equations, solutions to the problems are constructed in explicit form.

Темы

Numerical methods in inverse problems Differential Equations and Boundary Problems Spectral Theory in Mathematical Physics

Идентификаторы

DOI: 10.26907/0021-3446-2026-2-25-37

Цитирования и источники

Цитирований: 0Использованных источников: 8

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