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Journal of Applied Mathematics
Volume 2014, Article ID 358696, 7 pages
Research Article

Determination of an Unknown Coefficient in the Third Order Pseudoparabolic Equation with Non-Self-Adjoint Boundary Conditions

Baku State University, 1148 Baku, Azerbaijan

Received 1 May 2014; Revised 11 July 2014; Accepted 22 July 2014; Published 13 August 2014

Academic Editor: Bo Han

Copyright © 2014 Yashar T. Mehraliyev and Gulshan Kh. Shafiyeva. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The solvability of the inverse boundary problem with an unknown coefficient dependent on time for the third order pseudoparabolic equation with non-self-adjoint boundary conditions is investigated in the present paper. Here we have introduced the definition of the classical solution of the considered inverse boundary value problem, which is reduced to the system of integral equations by the Fourier method. At first, the existence and uniqueness of the solution of the obtaining system of integral equations is proved by the method of contraction mappings; then the existence and uniqueness of the classical solution of the stated problem is proved.