摘要
讨论由一类四阶偏微分方程所支配的系统的控制问题 ,证明了系统解的存在惟一性和最优控制的存在性 ,得到了控制为最优的必要条件 .这些结果可为种群系统控制问题的实际研究提供数学理论基础 .
This paper discusses control problem for the system governed by a class four-order differential equations, proves the existence and uniquence of the solution for the system and the existence of the optimal control. It obtains the necessary condition for a control to be optimal. These results may provide the mathematical theoretical basis for the practical research of the control problem in population systems.
出处
《数学的实践与认识》
CSCD
北大核心
2004年第10期111-121,共11页
Mathematics in Practice and Theory
基金
国家自然科学基金 ( 1 0 0 71 0 1 2 )
