本文研究了一类依赖于年龄结构的非线性种群系统的最优控制问题,其生死率依赖于个体年龄和加权规模.应用Ekeland’S变分原理证明了最优解的存在性,并用法锥和共轭系统技巧导出了最优性条件.
The optimal control problem for a class of nonlinear age-dependent population dynamics with fertility and mortality depending on age and a weighted size is investigated. The existence of the optimal control is proved by using Ekeland's variational principle and the necessary conditions of optimality is derived by means of normal cone and adjoint system technique.