【摘要】 讨论了具空间扩散和加权的非线性种群扩散系统的分布控制问题.运用偏微分方程、泛函分析以及J.L.lions的最优控制理论,证明了系统广义解的存在唯一性和最优分布控制的存在性,导出了分布控制为最优的必要条件以及确定最优控制的最优性组.更多还原

【Abstract】 The optimal distribution control for nonlinear population diffusion system with weight was investigated by the knowledge of paritial equations,function analysis and the theory for optimal control of J. L.Lions. The existence of the optimal control was proved. The necessary condition of optimal control and optimal system was given.更多还原