On Solvability of Some Inverse Problems for a Pseudoparabolic Equation with Multiple Involution
Koshanova M. Nazarova K. Turmetov B. Usmanov K.
August 2025Multidisciplinary Digital Publishing Institute (MDPI)
Mathematics
2025#13Issue 16
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.
Fourier method , inverse problem , involution , nonlocal equation , pseudoparabolic equation , Volterra equation
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Department of Mathematics, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan, 161200, Kazakhstan
Department of Mathematics and Physics, Alfraganus University, Toshkent, 100190, Uzbekistan
Department of Mathematics
Department of Mathematics and Physics
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