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2014 Determination of an Unknown Coefficient in the Third Order Pseudoparabolic Equation with Non-Self-Adjoint Boundary Conditions
Yashar T. Mehraliyev, Gulshan Kh. Shafiyeva
J. Appl. Math. 2014: 1-7 (2014). DOI: 10.1155/2014/358696

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.

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Yashar T. Mehraliyev. Gulshan Kh. Shafiyeva. "Determination of an Unknown Coefficient in the Third Order Pseudoparabolic Equation with Non-Self-Adjoint Boundary Conditions." J. Appl. Math. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/358696

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131547
MathSciNet: MR3251575
Digital Object Identifier: 10.1155/2014/358696

Rights: Copyright © 2014 Hindawi

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