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

НазваниеA time nonlocal inverse boundary-value problem for a second-order hyperbolic equation with integral conditions
АвторыE. I. Azizbayov1, Y. T. Mehraliyev2
1Department of Computational Mathematics, Baku State University
2Department of Differential and Integral equations, Baku State University
АннотацияThis 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.
Ключевые словаInverse value problem; hyperbolic equation; nonlocal integral condition; classical solution
Образец ссылки на статьюAzizbayov E. I., Mehraliyev Y. T. A time nonlocal inverse boundary-value problem for a second-order hyperbolic equation with integral conditions [Электронный ресурс] // Дифференциальные уравнения и их приложения в математическом моделировании: материалы XIII Международной научной конференции. (Саранск, 12-16 июля 2017 г.). - Саранск: СВМО, 2017. - С. 153-161. Режим доступа: http://conf.svmo.ru/files/deamm2017/papers/paper21.pdf. - Дата обращения: 18.07.2018.