What question did this study set out to answer?

The aim is to determine solutions to inverse problems associated with a degenerate parabolic equation, including functions on the right-hand side.

February 17, 2026

On Some Inverse Problems for a Degenerate Parabolic Equation With Multiple Involution

Key Points

The aim is to determine solutions to inverse problems associated with a degenerate parabolic equation, including functions on the right-hand side.
Studied initial-boundary value problems for a nonlocal analogue of the equation.
Proved theorems regarding existence and uniqueness of solutions to the problems.
The existence of solutions to the inverse problems was established.
Uniqueness of the solutions to the specified problems was also demonstrated.

Abstract

ABSTRACT In this paper, initial‐boundary value problems for a nonlocal analogue of a degenerate parabolic equation are considered. The authors study the inverse problems where it is necessary to determine not only a solution to the equation, but also a function in its right‐hand side. In the framework of this research theorems on the existence and uniqueness of solutions to these problems are proved.

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Discussion

Authors

Batirkhan Turmetov

Ainur Shalkhar

Journals

Mathematical Methods in the Applied Sciences

Actions

Institutions

L. N. Gumilyov Eurasian National University

Ahmet Yesevi University

Tashkent Islamic University

References and Citations

Connected Papers

Building similarity graph...

Analyzing shared references across papers

On Some Inverse Problems for a Degenerate Parabolic Equation With Multiple Involution

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Authors

Journals

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

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