### A time nonlocal inverse boundary-value problem for a second-order hyperbolic equation with integral conditions

Title A time nonlocal inverse boundary-value problem for a second-order hyperbolic equation with integral conditions E. I. Azizbayov1, Y. T. Mehraliyev21Department of Computational Mathematics, Baku State University 2Department of Differential and Integral equations, Baku State University This paper studies a time nonlocal inverse boundary-value problem for a second-order hyperbolic equation. First, we introduce a definition of a classical solution, and then the original problem is reduced to an equivalent problem. Further, the existence and uniqueness of the solution of the equivalent problem is proved using a contraction mapping. Finally, using the equivalency, the existence and uniqueness of classical solution is obtained. Inverse value problem; hyperbolic equation; nonlocal integral condition; classical solution Azizbayov E. I., Mehraliyev Y. T. ''A time nonlocal inverse boundary-value problem for a second-order hyperbolic equation with integral conditions'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 153-161. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper21.pdf. - Date of access: 26.06.2022.