查询词典 existence theorem

By using the integral equation and the Schauder fixed point theorem, through considering the height of nonlinear term on some bounded set, a new existence theorem is established.

利用积分方程和Schauder不动点定理，通过考察非线性项在某些有界集合上的高度建立了一个新的存在定理。

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。

Furthermore the existence theorem of periodic solutions was obtained by using Liapunov center theorem, and an example was presented to illustrate the results.

利用Liapunov中心定理，进一步得到了周期解的存在性定理，并举例说明结果的应用。

As for the existence of positive solutions, the cone theory and the fixed point index of condensing mapping are employed, and the results of the existence of positive solutions are obtained in the case of superlinear and sublinear. The conclusions extend and improve the existence theorem which Lou Ben-dong extablished in 1996 about the question of Sturm-Liouville of Banach spaces.

三、对于正解存在性问题，我们应用凝聚映射的不动点指数理论，分别在超线性与次线性情形下进行讨论，获得了一些正解存在的结果，主要结果推广和改进了1996年Lou Ben-dong对Banach空间Sturm-Liouville问题所建立的存在性定理。

The unique existence theorem for minimal determining set of completerational choice function is obtained,and the sufficient condition is used to show avery simple proof of Arrow Impossibility Theorem.

构造并证明了完全理性选择函数的最小决定集的存在惟一性定理，同时应用该定理的充分性条件给出了Arrow不可能性定理的一个简单证明。

In the first chapter (1.1.1)-(1.1.4) is studied by means of fixed point index theorem, not only the existence theorem is obtained, but the multiplicity is also obtained.

本文第一章利用这一理论研究方程(1.1.1)-(1.1.4)的正周期解问题，与已有研究成果相比，本章不仅获得了该类方程的正周期解的存在性定理又获得了正周期解的多解性定理，并将所取得的结论应用于一些具有实际背景的方程。

By using cross-iteration technique and the Schauder fixed point theorem, the existence theorem of travelling wave solutions of this system is established.

针对反应项的不同单调性，引进交互迭代格式，利用Schauder不动点定理建立了行波解的存在性定理，并将所得结论应用到时滞竞争系统。

By means of a nonlinear alternative theorem of Leray-Schauder type and Guo-Krasnoselskii's fixed point theorem in a cone, we establish the existence theorem of a positive solution to a singular coupled system of nonlinear fractional differential equations.

借助于锥上的非线性Leray-Schauder择一型定理和郭-Krasnoselskii's不动点定理，我们建立了非线性奇异耦合分数次微分方程组正解的存在性定理。

In this thesis, we mainly study problems on global geometry and geometricanalysis of Riemannian submanifolds, including vanishing theorem for homologygroups, topological sphere theorem, L~2 harmonic 1-forms, finiteness of end andthe spectrum of the Laplacian. In 1973, by using the Federer-Fleming existence theorem and the techniquesfrom the calculus of variations in the geometric measure theory, H.

本文着重研究黎曼子流形上整体几何与几何分析的若干问题，主要内容包括子流形的同调群消没定理、拓扑球面定理、L~2调和1-形式、端的有限性和Laplace算子谱等问题。

This result is browden to n-dimentional case in chapter 2 first and an existence theorem (theorem 2.1) for linearly increasing solutions is given.

第二章将此结果推广到高维情形，给出了一个线性增长解的存在性定理(定理2.1)；另外，本章还给出了方程存在对数增长解的两个定理(定理2.2—2.3)。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。