Article

On Solvability of Some Inverse Problems for a Pseudoparabolic Equation with Multiple Involution

Мaira KoshanovaDepartment of Mathematics, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan 161200, KazakhstanK. Zh. NazarovaDepartment of Mathematics, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan 161200, KazakhstanBatirkhan TurmetovDepartment of Mathematics and Physics, Alfraganus University, Toshkent 100190, UzbekistanK. I. UsmanovDepartment of Mathematics, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan 161200, Kazakhstan

Mathematicsjournal2025en

ABI

Abstract

In this paper, solvability of some inverse problems for a nonlocal analog of a pseudoparabolic equation is studied. The nonlocal analog of a pseudoparabolic equation is formed using transformations that have the involution property. Two types of inverse problems are considered. In the first problem, in addition to the solution, a function in the right-hand side of the equation depending on the spatial variable is determined. In the second problem, a function depending on the time variable is found. The first problem is solved using the Fourier method, and the second problem is solved by reducing to the integral Volterra equation.

Topics

Differential Equations and Boundary Problems Numerical methods in inverse problems Differential Equations and Numerical Methods

Identifiers

DOI: 10.3390/math13162587

Citations and references

Cited by 044 references

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