existence theorem

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。

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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。

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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。

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then obtains the judgment theorem and existence theorem of the rational root of the integral coefficient polynomial.

进而得出整系数多项式的有理根的一个判定定理和根的存在定理。

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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。

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an existence theorem of three-point boundary value problem for second-order nonlinear ordinary differential equations

二阶非线性常微分方程的三点边值问题的一个存在定理

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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.

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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。

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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。

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an abstract existence theorem in this banach space is introduced.

介绍了这个空间中的一个抽象存在定理。

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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

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based on the above analysis, we formulate the multi-stage network design problem under uncertainty as a bi-level stochastic mathematical programming with equilibrium constraints. the existence theorem of solution and solution algorithm framework based on genetic method is proposed.

在上述基础上，本文建立了多阶段的随机交通网络的网络设计模型，并给出了解的存在性定理以及基于遗传算法的计算框架，并给出了数值算例。

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the new existence theorem of complex integrating factor and its application

新复合型积分因子的存在定理及应用

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by using the fourier method, the representation and existence theorem of solutions of mixed boundary value problems for complex harmonic functions are obtained, the uniqueness of the solutions is discussed.

利用Fourier方法得到复调和函数的混合边值问题解的表示式及解的存在性定理并讨论了解的唯一性。

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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。

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the existence theorem of multiplier integrating factor

乘积型积分因子的存在定理

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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。

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the existence theorem of generalized gradient of set-valued mappings under benson proper efficiency

Benson真有效解意义下集值映射广义梯度的存在性定理

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the existence theorem integrating factor and its application

积分因子的存在性定理及其应用

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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

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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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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

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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。

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the unique existence theorem for minimal determining set of non-binary choice function

非二元性选择函数最小决定集的唯一存在性

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the existence theorem complex integrating factor and its application

复合型积分因子的存在定理及应用

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an existence theorem of three-point boundary value problem for second-order nonlinear ordinary differential equations

二阶非线性常微分方程的三点边值问题的一个存在定理

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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。

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a note about "the existence theorem of complex integrating factor and its application"

关于“复合型积分因子的存在定理及应用”的一个注记

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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。

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exceptional family of elements and an existence theorem for multi- valued variational inequalities

集值变分不等式的例外簇及解的存在性问题

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