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1)  the generalized saddle point theorem
广义鞍点定理
1.
Some multiplicity theorem are obtained for periodic solutions of a class of nonautonomous second order systems by using the generalized saddle point theorem.
利用广义鞍点定理讨论了一类非自治二阶系统的多重周期
2)  Generalized saddle point
广义鞍点
1.
Super efficient point in vector optimization problems with set-valued maps characterized by generalized saddle point;
集值向量优化问题超有效点的广义鞍点刻画
2.
By using the properties of generalized saddle points and a separation theorem,a property of generalized saddle points is proved with set separation.
本文研究集值优化问题严有效解的广义鞍点刻画问题。
3)  generalized weak saddle point
广义弱鞍点
1.
This paper establishes one kind of constructions for vector Lagrangian functionals in a class of multiobjective fractional optimal control problems, called generalized Lagrangian functionals, and the relationship between the weak efficiency and generalized weak saddle points of such a kind of generalized Lagrangian functionals is discussed.
给出一类多目标分式最优控制问题的向量 Lagrange泛函的构造 ,称为广义 Lagrange泛函 ,并且讨论弱有效性和这样一种广义 Lagrange泛函的广义弱鞍点之间的关
4)  saddle point theorem
鞍点定理
1.
By using the least action principle and the saddle point theorem in Critical Point theory,the existence theorems for periodic solutions of a class of nonautomomous second-order systems are obtained.
分别利用极小作用原理及鞍点定理在势泛函为一次线性泛函和次二次泛函之和的条件下讨论了一类非自治二阶Hamilton系统周期解的存在性。
2.
Two saddle point theorems were proven in according to the H α conjugate map and its properties.
借助一类非闭非凸的 α-较多锥 ,对多目标规划问题引进 Hα- Lagrange映射及其鞍点的概念 ,利用 Hα-共轭映射及其性质得到了两个鞍点定理 ,并对含有不等式约束的多目标规划问题建立了鞍点定
3.
The existence of periodic solutions for second order systems (M(t)u′)′+Au+F(t, u)=h(t), u(0)-u(T)=u′(0)-u′(T)=0, is dicussed with sublinear nonlinearity, by using the saddle point theorem, the problem has at least one periodic solution.
 讨论了一类二阶系统(M(t)u′)′+Au(t)+ F(t,u(t)=h(t),u(0)-u(T)=u′(0)-u′(T)=0,在非线性项满足次线性条件下周期解的存在性,利用鞍点定理得到该问题至少存在一个周期解。
5)  the saddle Point theorem
鞍点定理
6)  generalized saddle point problem
广义鞍点问题
1.
In this paper,we extend the ST decomposition to the generalized saddle point problem and present three block triangular preconditioners.
本文进一步讨论ST分解,并把这种分解推广到广义鞍点问题上。
补充资料:鞍点
分子式:
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性质:数学上同时具备极大与极小性质的点。应用于三维势能面及裂变核势能曲面上,与反应坐标相垂直的方向上过渡态位于势能的最低点,发生对称伸缩振动。在沿反应坐标方向上过渡态位于势能的最高点,发生不对称伸缩振动。过渡态在势能面所处的这一点即势能面的鞍点。

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