IJAM: Volume 38, No. 3 (2025)

DOI: 10.12732/ijam.v38i3.1

ON DETERMINING HIGHER COEFFICIENT
OF A SECOND ORDER HYPERBOLIC EQUATION
BY THE VARIATIONAL METHOD

 

Hamlet F. Guliyev1, Vusala N. Nasibzadeh2,§

 

1 Baku State University
Z. Khalilov Str. 23 - AZ 1148, Baku, AZERBAIJAN
1,2 Institute of Mathematics and Mechanics
B. Vahabzadeh Str. 9 - AZ 1141, Baku, AZERBAIJAN
2 Sumgait State University
Baku Str., 43 ward. - AZ 5008, Sumgait, AZERBAIJAN

 

Abstract. The paper deals with an inverse problem of determining a higher coefficient of a second order hyperbolic equation. This problem is reduced to an optimal control problem and the new problem is studied by the methods of optimal control theory. It is proved existence theorem for optimal control and obtained necessary condition of optimality in the form integral inequality.

 

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How to cite this paper?
DOI: 10.12732/ijam.v38i3.1
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2025
Volume: 38
Issue: 3

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[8] T.K. Yuldashev, Determination of the coefficient in the inverse problem for an integro differential equation of hyperbolic type with spectral parameters, The Era of Science, 17 (2019), 134-149.

[9] R.K. Tagiev, On the optimal control of the coefficients of a hyperbolic equation, Automation and Remote Control, 7 (2021), 40-54.

 

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