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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 University^{a} 
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 
MSC  35XX 
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. 503514. 
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