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Azerbaijan Baku
Section Mathematics
Title Inverse boundary value problem for a Boussinesq type equation of fourth order with nonlocal time integral conditions of the second kind
Author(-s) Megraliev Ya.T.a, Alizade F.Kh.a
Affiliations Baku State Universitya
Abstract This paper is concerned with an inverse boundary value problem for a Boussinesq type equation of fourth order with nonlocal time integral conditions. The definition of a classical solution of the problem is introduced. The goal of this paper is to determine the unknown coefficient and to solve the problem of interest. The problem is considered in a rectangular domain. To investigate the solvability of the inverse problem, we perform a conversion from the original problem to some auxiliary inverse problem with trivial boundary conditions. By the contraction mapping principle we prove the existence and uniqueness of solutions of the auxiliary problem. Then we make a conversion to the stated problem again and, as a result, we obtain the solvability of the inverse problem.
Keywords inverse value problem, Boussinesq equation, existence, uniqueness, classical solution
UDC 517.95
DOI 10.20537/vm160405
Received 10 October 2016
Language Russian
Citation Megraliev Ya.T., Alizade F.Kh. Inverse boundary value problem for a Boussinesq type equation of fourth order with nonlocal time integral conditions of the second kind, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2016, vol. 26, issue 4, pp. 503-514.
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