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- Title
Determination of an Unknown Coefficient in the Third Order Pseudoparabolic Equation with Non-Self-Adjoint Boundary Conditions.
- Authors
Mehraliyev, Yashar T.; Shafiyeva, Gulshan Kh.
- Abstract
Thesolvability 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.
- Subjects
COEFFICIENTS (Statistics); DEGENERATE parabolic equations; NONSELFADJOINT operators; NUMERICAL solutions to boundary value problems; INTEGRAL equations
- Publication
Journal of Applied Mathematics, 2014, p1
- ISSN
1110-757X
- Publication type
Article
- DOI
10.1155/2014/358696