TY - JOUR
AU - Al-Hawasy, Jamil A.
AU - Jasim, Doaa Kateb
PY - 2020/07/20
Y2 - 2022/05/20
TI - The Continuous Classical Optimal Control Problems for Triple Nonlinear Elliptic Boundary Value Problem
JF - Ibn AL- Haitham Journal For Pure and Applied Sciences
JA - IHJPAS
VL - 33
IS - 3
SE - mathematics
DO - 10.30526/33.3.2477
UR - https://jih.uobaghdad.edu.iq/index.php/j/article/view/2477
SP - 101-112
AB - <p> In this research, our aim is to study the optimal control problem (OCP) for triple nonlinear elliptic boundary value problem (TNLEBVP). The Mint-Browder theorem is used to prove the existence and uniqueness theorem of the solution of the state vector for fixed control vector. The existence theorem for the triple continuous classical optimal control vector (TCCOCV) related to the TNLEBVP is also proved. After studying the existence of a unique solution for the triple adjoint equations (TAEqs) related to the triple of the state equations, we derive The FrÃ©chet derivative (FD) of the cost function using Hamiltonian function. Then the theorems of necessity conditions and the sufficient condition for optimality of the constraints problem are proved</p>
ER -