On some inverse problems for a degenerate parabolic equation with involution


Turmetov B. Shalkhar A.
1 January 2026Walter de Gruyter GmbH

Open Mathematics
2026#24Issue 1

In this paper, the solvability of some initial-boundary value problems is considered for a nonlocal analogue of the degenerate parabolic equation. The inverse problems are studied for the case where it is necessary to find not only a solution to the equation but also the function in its right-hand side. The theorems on the existence and uniqueness of the solution to the considered problems are proved.

degenerate parabolic equation , existence , Fourier method , involution , uniqueness , Volterra integral equation

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Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan, Kazakhstan
L.N. Gumilyov Eurasian National University, Astana, Kazakhstan

Khoja Akhmet Yassawi International Kazakh-Turkish University
L.N. Gumilyov Eurasian National University

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