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Linear inverse problems for third-order pseudo-hyperbolic equation with periodic and integral conditions

TitleLinear inverse problems for third-order pseudo-hyperbolic equation with periodic and integral conditions
AuthorsR. S. Sadikhzada1, Y. T. Mehraliyev1
1Baku State University
AnnotationIn this paper we study an inverse boundary value problem with an unknown time-depended right hand side for a third-order pseudo-hyperbolic equation with periodic and integral conditions.When solving the original inverse boundary value problem, the transition from the original inverse problem to some auxiliary inverse problem is carried out. The existence and uniqueness of a solution to an auxiliary problem are proved with the help of contracted mappings. Then the transition to the original inverse problem is again made, as a result, a conclusion is made about the solvability of the original inverse problem.
Keywordsinverse boundary value problem, third-order hyperbolic equation, Fourier method, classical solution
CitationSadikhzada R. S., Mehraliyev Y. T. ''Linear inverse problems for third-order pseudo-hyperbolic equation with periodic and integral conditions'' [Electronic resource]. Proceedings of the XVI International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 17-20, 2023). Saransk: SVMO Publ, 2023. - pp. 205-212. Available at: https://conf.svmo.ru/files/2023/papers/paper33.pdf. - Date of access: 24.07.2024.