ON DEFINITION OF COEFFICIENT OF THE LOWEST TERM IN THE MULTIDIMENSIONAL SECOND ORDER HYPERBOLIC EQUATION

Ismayilova Gyunai Gafil kyzy, lecturer of Sumgait State University, Sumgait (Azerbaijan)

pages 13–19

DOI: 10.1615/JAutomatInfScien.v51.i1.80

The problem of determining the coefficient of lowest term of the second order multidimensional hyperbolic equation with additional inteqral condition is reduced to the optimal control problem and the obtained problem is investigated by methods of optimal control theory. Existence theorem of optimal control is proved, continuous differentiability by Freshet of functional is established and is deduced necessary condition of optimality by the solution of conjugate problem.

Keywords: hyperbolic equation, coefficient of the lowest term, inverse problem, optimal control.

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