INVERSE BOUNDARY-VALUE PROBLEM FOR
LINEARIZED EQUATION OF MOTION OF
A HOMOGENEOUS ELASTIC BEAM
Kh.E. Abbasova1, Y.T. Mehraliyev2, E.I. Azizbayov3
1 Department of Digital Economy and ICT
Azerbaijan State University of Economics
Baku, AZ1001, AZERBAIJAN
2 Department of Differential and Integral Equations
Baku State University
Baku, AZ1148, AZERBAIJAN
3 Department of Computational Mathematics
Baku State University
Baku, AZ1148, AZERBAIJAN

Abstract

The present paper is devoted to the study of classical solution of an inverse boundary-value problem for the linearized equation of motion of a homogeneous elastic beam with an over-determination condition. The goal of the work is to determine both solution and the unknown coefficient together for the considered problem in the rectangular region. First, in order to investigate of solvability of the inverse problem, we reduce original problem to the auxiliary problem with trivial data. Applying the Fourier method and contraction mappings principle, the existence and uniqueness of the classical solution of the obtained equivalent problem is proved. Furthermore, using the equivalence, the unique solvability of the appropriate auxiliary inverse problem is shown.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 33
Issue: 1
Year: 2020

DOI: 10.12732/ijam.v33i1.12

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