existence theorem

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

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。

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。

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。

In this paper, the author defines Borel point for v-value meromorphic algebroidal functions of positive finite order in| z| < 1, and proves the existence theorem of it.

本文在单位圆内对有穷正级的v值亚纯代数体函数定义了Borel点，并证明了其存在性。

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。

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。

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.

This paper discusses a higher order semi-linear mixed-type equation. Some unique existence theorem of the solution is proved.

把高阶线性混合型方程的两个定解问题推广到高阶半线性混合型方程的两个相应的定解问题，利用Laray-Schauder不动点定理证明了解的存在唯一性。

Global Existence Theorem for Initial Boundary Value Problem in Exterior Domain of Nonlinear Wave Equations

非线性波动方程外区域初边值问题整体存在定理

An existence theorem of periodic solutions was obtained for non-autonomous second order systems with sub-additive potential by using the least action principle.

通过使用最小作用原理，对于具有次可加位势的非自治二阶系统，获得了一个周期解的存在性定理。

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。

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

As applications, a Fan-Browder tape coincidence theorem and a Ky Fan tape best approximation theorem are obtained. Finally, a new equilibrium existence theorem for abstract economies is yielded.

作为应用，研究了Fan-Browder型重合定理、KY FAN型最佳逼近定理和抽象经济平衡存在定理。

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。