摘要
讨论了与年龄相关的时变种群系统的最优边界控制，证明了最优控制的存在唯一性，得到了控制为最优的充分必要条件，给出了由积分一偏微分方程和变分不等式组成的最优性组．这些结果可为种群控制问题的研究提供严格的理论基础．
This paper discusses the optimal boundary control for time-verying population systems with age-dependence, proves the existence and uniqueness of the optimal control, obtains the necessary and sufficient conditions for a control to be optimal and gives the optimality system consisting of integro-differential equations and variational inequalities. These results may provide a strict theoretica bsais for the research of the population control problem.
出处
《东北师大学报（自然科学版）》
CAS
CSCD
1999年第4期9-13,共5页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金!19671015
关键词
最优边界控制
最优性
时变种群系统
变分不等式
population system
integro-differential equation
optimal boundary control
optimality system
variational inequalities
