1、

Under quite general assumptions, the optimality equation is directly established and the existence theorem of optimal solution is proved for infinite time average cost model in a compact action set by using basic properties of the Markov performance potentials.

应用Markov性能势的基本性质,在很一般性的假设条件下,直接导出了无限时间平均代价模型在紧致行动集上的最优性方程及其解的存在性定理。

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2、

We discuss the entire solution of the time-dependent population developing system equation. We regard the noncompetitive fertility rate as control function and judge its optimality by quadratic functional, and study the optimal control problems for the above population system.

讨论了时变人口发展系统的整体解,并且将非竞争人口生育率作为控制函数,用二次泛函来判别其最优性,研究了上述人口系统的控制问题。

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3、

the study of first order optimality condition on equation constrains

具等式约束的最优性一阶条件研究

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