existence theorem

A Constructive Proof of Existence Theorem for Rational Form

有理标准形存在性定理的构造性证明

Five order isotropic descartes tensor and its existence theorem and representation problems are researched, then a general representation formula of five order isotropic descartes tensor is got.

研究了五阶各向同性张量的存在性及其一般表示问题，得出了三阶各向同性Descartes张量的一般表达式。

An existence theorem of fixed points for mappings of asymptotically nonexpansive type is proved in any k-uniformly rotund Banach space, which generalizes results of Goebel-kirk [ 2], Kirk [ 3], and Yu Xintai-Dc Xingde [ 6].

本文在k一致圆形Banach空间中证明了连续渐近非扩张型映象不动点的存在性。这一结果推广了Gocbcl-Kirk，Kirk，俞鑫泰&戴兴德等人的结果。

Then using these results and the scalarization method, we prove existence theorems for the new type of generalized vector quasi-equilibrium problem and a minimax theorem in G-convex spaces.

然后，利用这些结果和数值化方法，得到G-凸空间上这类广义向量拟均衡问题解的存在定理和一个极大极小定理。我们的结果推广了[7]，[12]和[18]中的一些已知结果。

A New Existence Theorem for Nash Equilibrium Point

一个新的判定Nash平衡点存在的判定定理

In this paper, a new existence theorem of Nash equilibrium points is given.

本文给出了一个新的Nash平衡点的存在定理。

Furthermore, we establish the existence of positive solutions of n-order local and non-local boundary value problems by fixed point theorem.

进一步利用锥上的不动点原理给出了n阶常微分方程局部边值问题和非局部边值问题的正解的存在性。

By using the new collectively fixed point theorem and a maximum theorem, some new existence theorems of solutions for infinite optimization problems and constrained game problems are proved in the locally generalized convex spaces without linear structure.

利用这个集族不动点定理和最大值定理，在不具有线性结构的局部广义凸空间中，给出了无穷优化问题和约束对策问题的解的一些新的存在性定理。

Adam Smith's famous invisible hand theorem was predicated on the existence of competition.

亚当斯密著名的看不见的手的理论被用来断言竞争的存在.

A prey-predator system with sexual favoritism are considered by means of a continuous theorem of coincidence degree theory, a sufficient condition of existence for periodic solution is presented in the fourth chapter.

在第四章里我们讨论了一个具有性别偏食的食饵捕食系统，得出了系统灭绝和一致持久的充分条件。