【摘要】 讨论了年龄相关和空间扩散的半线性时变种群系统的最优控制问题,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,为种群实际控制问题的研究提供了严格的理论和方法.更多还原

【Abstract】 This paper discusses the optimal control problem for the optimal control problem for the semilinear time-varying population system with age-dependence and spatial diffusion.It proves the existence of the optimal control for the system and the necessary condition for a control to be optimal,and obtains the optimality system determined optimal control.These results may provide a strict theory and method for research of practical population control problem.更多还原