Title of article :
OPTIMAL CONTROL OF THE NEUMANN PROBLEM FOR THE NONLINEAR ELLIPTIC EQUATION WITHOUT THE DIFFERENTIABILITY OF THE CONTROL-STATE MAPPING
Author/Authors :
SEROVAJSKY, SIMON Al-Farabi Kazakh National University, Kazakhstan
Abstract :
The optimal control problem for the nonlinear elliptic equation is considered. The corresponding control-state mapping is not Gataux differentiable. Necessary conditions of optimality are obtained by means of the extended derivatives theory.
Keywords :
optimal control , nonlinear elliptic equation , control , state mapping , extended derivative
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics
