摘要
研究年龄相关的半线性种群扩散系统的最优收获控制问题,证明了最优收获控制的存在性,得到了收获控制为最优的必要条件和由偏微分方程与变分不等式所构成的最优性组,由最优性组确定最优控制.
This paper discusses the problem of the optimal harvesting control problem for a semilinear age-dependent population diffusion system. It proves the existence of the optimal harvesting control, obtains the necessary condition for a control to be optimal, and then the optimality system consisting of integro-partial differential equations and variational inequlities, where the optimality system determines the optimal control.
出处
《应用泛函分析学报》
CSCD
2004年第3期273-288,共16页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(10071012)