存在性定理

In chapter 2, by virtue of the properties of partially ordered F-type topological space, we establish some fixed point theorems of increasing mappings in this kind of space. At the same time, we investigate the existence of maximum fixed point and minimum fixed point of increasing mappings on an order interval.

第二章，利用半序F-型拓扑空间的基本性质，建立这类空间上单调增映射的不动点定理，研究其序区间上单调增映射的最大、最小不动点的存在性。

The existence of positive periodic solution for thissystem is obtained by using the continuation theorem of coincide degree.

讨论了具变时滞周期单物种差分系统，用重合度的连续定理获得了这个系统的周期解的存在性。

This article investigates the two-point boundary value problem to a coupled system of nonlinear fractional differential equations. By applying growth conditions on the nonlinear terms, we obtain an existence result of solutions. Our analysis relies on the Schauder fixed-point theorem and the reduction of the considered problem to the equivalent coupled system of integral equations.

本文讨论非线性分数阶微分方程耦合系统的两点边值问题，应用Green函数，将其转化为等价的积分方程耦合系统，并设非线性项在无穷远处有增长条件，应用Schauder不动点定理证明解而非限于正解的存在性。

We first use the method similar with that in EL.karoui[1] to get the comparison theorem of K in the case of one reflecting barrier,At last,we use the idea of penalization to prove one existence result of the solution for the multi-dimensional RBSDE where the coefficient is continuous and has the linear growth,this also help us to give the comparison theorem of K~+ and K~- in the case of two reflecting barriers.

最后，用惩罚方法证明了当多维双边界反射倒向随机微分方程的生成元满足连续和线形增长条件时解的存在性，并同时得到了双边界情形下，K~+和K~-的多维比较定理。

In this paper, the relationship between the linear complexity and the 2-adic complexity is investigated based on the Chinese Remainder Theorem and some other related theories in the number theory, and the existence of N-periodic sequences that simultaneously achieve the maximum 2-adic complexity and a great k-error 2-adic complexity is proved.

文中借助数论中的中国剩余定理等相关理论研究了二元序列的2-adic复杂度与线性复杂度的关系，证明了具有最大2-adic复杂度以及较大k错2-adic复杂度的N周期序列的存在性，给出了具有这种性质的周期序列的数目的下界。

By using Schauder fixed point theorem and upper and lower solution method,we ob- tain some new existence criteria for positive solution to a singular p-Laplacian BVPs with sign-changing nonlinearity involving derivative.

借助于上下解方法和Schauder不动点定理，建立了测度链上非线性项变号的奇异p-拉普拉斯多点边值问题正解的存在性准则。

Aimed at the mathematic problem in the model of the pendulum oscillation,the paper introduces the study on the existence of odd-harmonic solutions to second order semi-linear differential equation which describes the model of the pendulum oscillation by using upper and lower solution method monotone iterative technique and the Schauder fixed point theorem respectively.

针对摆型振动模型中的数学问题，分别采用上下解方法、单调迭代法及Schauder不动点定理研究了摆型振动模型的二阶半线性微分方程奇调和解的存在性。

In Chapter2, we first study the existence of Chebyshev coordinates of time-like (or space-like) submanifolds with a constant sectional curvature in N〓. Afterwards, we generalize the classical Backlund theorem for space-like (or time-like) submanifolds in N〓 and N〓.

在第二章中，首先我们研究了伪黎曼空间形式N〓中常曲率类空子流形的Chebyshev坐标的存在性；然后把经典的Backlund定理推广到高维的伪黎曼空间形式N〓和N〓中。

In Part 3, We obtain the existence of positive solutions of semilinear evolution impulsive differential equations under the suitable conditions by using the same method. And example is given to illustrate main result.

我们采用相同的方法利用抽象锥上的不动点定理，在合适的条件下获得正解的存在性，并构造例子说明所得结果的应用。

In this paper,we discuss the existence of positive solution for singular positive boundary value problem of second order differential equations by using a general cone fixed point theorem .

利用一个普通的锥不动点定理研究了二阶奇异非共振边值问题正解的存在性。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。