Geodesic
Inverse boundary value problem for a second-order hyperbolic equation with integral condition of the first kind
Problemy fiziki, matematiki i tehniki, no. 1 (2016), pp. 42-47

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An inverse boundary value problem for a second-order hyperbolic equation with integral condition of the first kind is investigated. A definition of classical solution is introduced for this problem. The Fourier method is used to reduce the problem to a system of integral equations. The method of contraction mappings is applied to prove the existence and uniqueness of a solution of the system of integral equations. Then, the existence and uniqueness of a classical solution of the initial problem is proved.
Keywords: inverse boundary problem, hyperbolic equation, Fourier method, classic solution. 
@article{PFMT_2016_1_a7,
     author = {Ya. T. Mehraliyev and Q. N. Isgenderova},
     title = {Inverse boundary value problem for a second-order hyperbolic equation with integral condition of the first kind},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {42--47},
     publisher = {mathdoc},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2016_1_a7/}
}
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Ya. T. Mehraliyev; Q. N. Isgenderova. Inverse boundary value problem for a second-order hyperbolic equation with integral condition of the first kind. Problemy fiziki, matematiki i tehniki, no. 1 (2016), pp. 42-47. http://geodesic.mathdoc.fr/item/PFMT_2016_1_a7/