不动的

The existence of periodic solutions to the second order ordinary differential equation in Banach space is discussed.

本文利用半序理论，非紧性测度，凝聚映射的拓扑度，不动点定理及锥上不动点指数理论，讨论了Banach空间E中二阶常微分方程周期边值问题解的存在性，主要结果有一。

For example, a high energy dervish of a dog isn't going to learn to be a laid back, low energy dog.

一条高活力多动的狗将不能学着变成一条不爱动、低活力的狗。

Although classical Ekeland is equivalent to classical Caristi fixed point theorem, we can not make the same degree of generalization for them.

另外，我们指出即使古典的Caristi不动点定理和Ekeland变分原理是等价的，但是Ekeland变分原理不能和Caristi不动点定理作相同程度的推广。

Then we prove the existence of positive solutions for difference equations by using fixed point theorem of cone expansion and compression.

另外，对非线性项具有混合单调性的情况，利用不动点指数性质及锥压缩与拉伸不动点定理等方法，得到了差分方程一个正解的存在性。

By changing differential equations into nonlinear integral equation,we study the existence of positive solution of a class of second order differential equations problems by the fixed point theorem of cone expansion and compression,and the fixed point index theorem,then we obtain two multiple positive .

通过将常微分方程转化为非线性积分方程，利用锥拉伸和锥压缩不动点定理和不动点指数讨论了一类二阶常微分方程的正解存在性问题，在一定条件下，得到了几个多重正解定理，同时证明了与此相关的主要引理

Motivated by this, we consider the global behavior of positive solutions of three-point boundary-value problems for second-order differential equations, under two different kinds of boundary-value problems, using fixed point theorem, fixed point index theorem and cone theory.

本文受到文献[7]的启发，运用不动点定理、不动点指数定理以及锥理论，分别研究了两种不同边值条件下二阶微分方程三点边值问题正解的整体性。

In chapter 4, we first discussed the existence of multiple positive solutions of the second order nonsingular Dirichlet boundary value problem for impulsive differential equations by using the fixed point index theorem in cones . Next, we presented some new existence results for singular boundary value problems for second order impulsive differential equations by using fixed point theorem in cones and Leray-Schauder nonlinear alternative theorem.

第四章我们首先利用锥不动点定理讨论了非奇异二阶脉冲微分方程狄利克莱边值问题多个正解的存在性；其次我们用锥不动点定理和Leray-Schauder型非线性抉择定理，讨论了奇异二阶脉冲微分方程狄利克莱边值问题一个及多个正解的存在性。

In this paper, to study fixed-point of compact metric space , and obtain one pair fixed-point theorems of expansion Mapping and compression Mapping.

摘要研究了紧度量空间上的不动点问题。得到扩张映射与压缩映射的不动点定理。

By using the cone and partial ordering theory, it is studied that fixed point theorems non-monotone in Banach spaces, some new coupled fixed point theorems are abtained.

利用锥与半序理论，研究Banach空间不具有单调性的一类二元算子的不动点，得出了新的耦合不动点定理，是某些已有结果的改进和推广。

In this paper, we mainly apply theory of ordering in nonlinear functional analysis, cone theory, topological degree theory, cone expansion and compression theory, and the method of upper and lower solutions, partial ordering method, iterative method to study some nonlinear differential equations BVP and fixed points problems of mixed monotone operators, and obtain some new results.

中文摘要：在本文中，我们主要应用非线性泛函分析中的半序理论，锥理论，Leray-Schduder拓扑度理论，锥拉伸与锥压缩不动点理论，以及上下解方法，半序方法，迭代方法对一些非线性微分方程边值问题和混合单调算子的不动点问题进行讨论，并得到了一些新成果。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了