利用这些概念，得到了总极值的最优性条件。
With these concepts, integral optimality conditions for global optimization are obtained.
本文研究向量优化问题在严有效解意义下的最优性条件。
Optimality conditions for vector optimization problem to attain strictly efficient solutions are considered in the paper.
第三部分，研究平衡约束优化问题的可行性和最优性条件。
Finally, we study feasibility and optimality conditions for optimization problems with equilibrium constraints.
该方法所采用的系统不是等价于中心路径条件，而是等价于最优性条件本身。
The system which is employed in this method is equivalent to the optimality conditions and not to the central path conditions.
文中给出了算法及收敛性、最优性条件、计算实施的若干建议，以及计算实例。
The algorithm and its convergence, optimization condition, some suggestions about the computation, and the examples are given.
证明了最优控制的存在唯一性，给出了一阶最优性条件，讨论了最优反馈的合成。
The existence of a unique optimal control, the optimality conditions of first order, and the synthesis of the optimal feedback law a re investigated.
集值优化问题的最优性条件与解集的结构理论在集值优化理论中占有重要的地位。
Under the nearly cone-subconvexlike set-valued maps, relations of strong efficient solutions and Kuhn-Tucker saddle point of set-valued optimization problem are dicussed.
运用此定理，在线性空间中建立了带广义不等式约束的向量极值问题的最优性条件。
By the alternative theorem, the optimality conditions of vector extremum problems with generalized inequality constraint are established in linear space.
通过分析水电站水价的估计式，得到了具有普遍适用性的、形式统一的最优性条件。
By introducing average electricity prices to analyze the water rate, a uniform formulation for the optimal conditions is obtained.
当目标函数是塑性极限弯矩凸函数时，证明了这一最优性条件也是最优解的充分条件。
It is proved that the optimality conditions are also sufficient if the objective function is a convex function of the plastic limit bending moment.
该文利用集值映射的三种切上导数概念，给出了向量集值优化问题中严有效点的最优性条件。
In this paper, a few optimality conditions for strictly efficient points of set valued optimization are presented by using the concept of contingent derivatives of set valued mad.
在序线性空间中，利用次似凸映射的择一性定理，得出具有一般约束的向量极值问题的最优性条件。
Using the alternative theorem, the optimality conditions of vector extremum problems with generalized constraint are established in ordered linear space.
并且通过把该交叉规划转化为特殊的凸二次双水平规划，给出这类交叉规划的最优性条件和求解算法。
Furthermore, it gives an optimum condition and a simple algorithm of the special interaction programming by changing it into a special convex quadratic bilevel programming.
最后，利用择一性定理，获得了含不等式和等式约束的广义次似凸集值映射向量最优化问题的最优性条件。
Finally, the optimality conditions for vector optimization problems with set valued maps with equality and inequality constraints are obtained with it.
针对一类追逃对抗问题，基于微分对策理论，建立了三维空间中的追逃对抗模型，进而得到了最优性条件和最优策略。
Based on the theory of differential games, this paper establishes the pursuit and evasion resistance model in 3d space and gets its optimality conditions and the optimal strategy of resistance.
文中给出了最优性条件、次梯度集合的构造方法及算法的迭代程序，提出了新的删除定理，可以减少迭代过程所储存的次梯度的信息量。
The subgradient set, optimization and procedure are constructed. In particular, a new deletion rule is suggested to reduce the amount of information to be stored during the computation procedure.
文中给出了最优性条件、次梯度集合的构造方法及算法的迭代程序，提出了新的删除定理，可以减少迭代过程所储存的次梯度的信息量。
The subgradient set, optimization and procedure are constructed. In particular, a new deletion rule is suggested to reduce the amount of information to be stored during the computation procedure.
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