The solution of nonlinear optimization of thermal processes described by Volterra integro-differential equations

Present article is devoted to solution of nonlinear optimization of thermal processes described by Volterra integro-differential equations. We investigated the questions of unique solvability the problem of nonlinear optimal control 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. For optimization problems we obtained the sufficient conditions of the unique solvability and we developed for constructing the complete solution in the form of the triple. (author)