Formula for the gradient in the optimal control problem for the non-linear system of the hyperbolic equations with non-local boundary conditionsH.F. Guliyev, Y.A. Sharifov (pp. 111-121)
Abstract.In this work the optimal control problem for the nonlinear system of the first order hyperbolic equations with non-local conditions is investigated. The existence and uniqueness of the solutions of the boundary value problem under some conditions have been proved and the formula for gradient of the functional is derived.
Keywords:non-local conditions, existence, uniqueness, optimal control, gradient formula.