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