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

Название	A time nonlocal inverse boundary-value problem for a second-order hyperbolic equation with integral conditions
Авторы	Azizbayov E. I.¹, Mehraliyev Y. T.² ¹Department of Computational Mathematics, Baku State University ²Department of Differential and Integral equations, Baku State University
Аннотация	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.
Ключевые слова	Inverse value problem; hyperbolic equation; nonlocal integral condition; classical solution
Образец ссылки на статью	Azizbayov 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: https://conf.svmo.ru/files/deamm2017/papers/paper21.pdf. - Дата обращения: 23.11.2024.

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

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