ON OPTIMIZATION METHOD IN
THE NEUMANN PROBLEM FOR WAVE EQUATION
Hamlet F. Guliyev1, Vusala N. Nasibzadeh2
1Baku State University
23, Z. Khalilov str. AZ 1148, Baku, AZERBAIJAN
1Institute of Mathematics and Mechanics
AZ 1141, B. Vahabzadeh str. 9, Baku, AZERBAIJAN
1,2Sumgait State University
1, Baku str, 43 ward. AZ 5008, Sumgait, AZERBAIJAN

Abstract

In this paper the Neumann problem is considered for the wave equation in two-dimensional case. A theorem on uniqueness of the solution of the appropriate inverse problem is proved. In the optimal control problem compared to the inverse problem, a theorem on the existence of an optimal control is proved, sufficient and necessary condition of optimality is derived in the form of variational inequality.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 30
Issue: 6
Year: 2017

DOI: 10.12732/ijam.v30i6.5

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