RT Journal Article
ID 7f2e955e43459546
A1 Ismayilova , Gyunay Gafil kyzy
T1 On Determination  of the Coefficient of the Lower Term  of the Multidimensional Hyperbolic Equation  of the Second Order
JF Journal of Automation and Information Sciences
JO JAI(S)
YR 2019
FD 2019-05-03
VO 51
IS 1
SP 78
OP 85
K1 hyperbolic equation
K1 coefficient of the lower term
K1 inverse problem
K1 optimal control
AB Determination of the coefficient of the lower term of the multidimensional hyperbolic equation of the second order with the integral overdetermination condition is reduced to a problem of optimal control and the obtained problem is studied by methods of the theory of optimal control. A theorem about the existence of the optimal control is proved, continuous Frechet differentiability of the functional is ascertained and by means of solving the conjugate problem the necessary condition of optimality is derived.



PB Begell House
LK https://www.dl.begellhouse.com/journals/2b6239406278e43e,3a51e96f24729a75,7f2e955e43459546.html