具加权的半线性周期种群系统的最优边界控制  

Optimal Boundary Control for a semi-linear Periodic Population System Based on Weight

作　　者：赵英颖[1] 

机构地区：[1]广东商学院华商学院会计系,广州511300

出　　处：《枣庄学院学报》2011年第2期65-72,共8页Journal of Zaozhuang University

摘　　要：讨论具有年龄和加权的半线性周期种群系统的最优边界控制问题.利用偏微分方程和泛函分析等理论证明了系统最优控制的存在性和控制为最优的必要条件,并得到了确定最优控制的最优性组,体现出加权总规模对周期种群动态过程的实际的影响,更具有实际意义.The present paper is concerned with the optimal control problem for a semi - linear age - dependent periodic popula- tion system based on weight. By more than Partial differential equation and Functional analysis theories, it proves the existence of the optimal boundary control for the system and the necessary condition for a control to be optimal, and obtains the optimality system determined optimal control, incarnates the actual influence of the weighted size on the dynamic process for the periodic population, so it has the actual significance even more.

关 键 词：周期 加权的种群系统 年龄结构 最优边界控制 变分不等式 最优性组 

分 类 号：O175.1[理学—数学]