Determination of an Unknown Coefficient in the Third Order Pseudoparabolic Equation with Non-Self-Adjoint Boundary Conditions. (13th August 2014)

• Record Type: Journal Article
• Authors: Mehraliyev, Yashar T.; Shafiyeva, Gulshan Kh.
• Other Names: Han Bo Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-08-13
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/358696
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : 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.