延边大学学报(自然科学版)
延邊大學學報(自然科學版)
연변대학학보(자연과학판)
JOURNAL OF YANBIAN UNIVERSITY(NATURAL SCIENCE EDITION)
2014年
4期
295-298
,共4页
椭圆型变分不等式%特征函数%最优控制
橢圓型變分不等式%特徵函數%最優控製
타원형변분불등식%특정함수%최우공제
elliptic variational inequality%characteristic function%optimal control
目标泛函相对于状态函数不可微的情形下,利用分解法和引入罚微分方程式等过程,研究了一个半线性椭圆型变分不等式最优控制问题,并证明了其解的存在性。
目標汎函相對于狀態函數不可微的情形下,利用分解法和引入罰微分方程式等過程,研究瞭一箇半線性橢圓型變分不等式最優控製問題,併證明瞭其解的存在性。
목표범함상대우상태함수불가미적정형하,이용분해법화인입벌미분방정식등과정,연구료일개반선성타원형변분불등식최우공제문제,병증명료기해적존재성。
In this paper,an optimal control problem governed by semi-linear elliptic variational inequality is studied by means of decomposition and process of introducing a penalty differential equation,and the existence of solution is proved,where the obj ective function is not differential with respect to the state function.