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

TitleA time nonlocal inverse boundary-value problem for a second-order hyperbolic equation with integral conditions
AuthorsE. I. Azizbayov1, Y. T. Mehraliyev2
1Department of Computational Mathematics, Baku State University
2Department of Differential and Integral equations, Baku State University
AnnotationThis 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.
KeywordsInverse value problem; hyperbolic equation; nonlocal integral condition; classical solution
CitationAzizbayov 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: 10.12.2019.