Derivation of equations of vector of the optimal-control in the problem of nonlinear optimization of thermal processes
In the paper, we investigated the questions of unique solvability of the boundary value problem of the thermal processes described by Volterra integro-differential equations when the control parameters are nonlinearly included into the equation as well as into the boundary condition. It is established that vector optimal control is defined as the solution of the system of nonlinear integral equations and satisfy the additional condition in the form of the system of inequalities.