【摘要】 讨论与年龄相关的一类非线性种群系统的最优收获控,运用泛函分析的Mazru’s定理证明了最优收获控制的存在性,利用G-微分和Lions的变分不等式理论,导出了控制为最优的必要条件,得到了由积分-偏微分方程和变分不等式组成的最优性组,由最优性组确定最优控制.更多还原

【Abstract】 This paper discussed the optimal harvesting control problem for a non-linear population system.It proves the existence of the optimal harvesting control by Mazur’s theorem,obtains the necessary condition for a control to be optimal by G—differential and Lions’ s variational inequality theory,and then the optimality system consisting of integral-partial differential equations and variational inequlities where the optimality system determines the optimal control.更多还原