不动

By using of the decomposition of equation and the Leray-Schauder fixed point theorem, four existence theorems are established.

通过使用方程的分解技巧和Leray-Schauder不动点定理建立了4个存在定理。

In the second part, we make use of fixed point theorem of conic expansion and compression to prove the existence of two positive solutions in Banach spaces for ...

第二部分利用锥拉伸与压缩不动点定理证明了Banach空间中非线性项系数带变号的二阶四点边值问题两个正解的存在性。

In addition, when the nonlinearities have the properties of mixed-monotonicity, the existence of a positive solution for difference equations is ob-tainded by using fixed point theorem in a cone or fixed point theorem of conic expansion and compression.

在最后一部分讨论了带有特征值的非线性二阶差分方程正解存在性问题，利用锥压缩与拉伸不动点定理及逼近性理论，在一定的假设条件下，得到了差分方程正解存在性。

By using the theorem on cone expansion and compression and a fixed point theorem on cone,this paper is concerned with the existence of positive solutions for some boundary value problem of singular nonliear semipositive second-order three-point boundary value problem,which improve many known results.

运用锥拉伸与压缩不动点定理研究非线性奇异半正二阶三点边值问题正解的存在性，推广了一些已知的结果。

The existence and uniqueness of the solution with the help of the Banach fixed point theorem and the theory of operator semigroups are verified .The global exponential stability of KS equation and the global exponential stability and asymptotical stability of macro KS equation with the given boundary feedbacks are proved .

通过Banach不动点原理和算子半群理论证明了方程解的存在性和唯一性，并证明了KS方程在给定的边界反馈条件下是全局指数稳定的及广义的KS方程在给定的边界反馈条件下是全局指数稳定和渐近稳定的。

The network is exterior the main factor that the gender is influence network product requirement, preference of people basis oneself selects network product, and the network that chooses a process to affect a product again is exterior sexual size, network product market is so balanced be consumer preference do not move a point.

网络外部性是影响网络产品需求的主要因素，人们依据自身偏好选择网络产品，而选择过程又影响到产品的网络外部性大小，所以网络产品市场均衡是消费者选择的不动点。

If the crystal is rotated about the incident ray as an axis, the ordinary ray remains fixed but the extraordinary ray revolves around it, as shown in Fig.

如果晶体绕入射线光轴转动，正常光线保持不动，而非常光线也绕它旋转，如图所显示的。

He was sounding the deeps of his nature, and of the parts of his nature that were deeper than he, going back into the womb of Time. He was mastered by the sheer surging of life, the tidal wave of being, the perfect joy of each separate muscle, joint, and sinew in that it was everything that was not death, that it was aglow and rampant, expressing itself in movement, flying exultantly under the stars and over the face of dead matter that did not move.

这声音发自他天性深处，发自那比他自身更深远的天性，回溯到纪元的初始，生命的涌动、存在的奔腾、全身健全的肌腱关节的畅快控制了他，那产生于一种难以明状的东西，既狂热又暴烈，体现为在星空之下，在静止不动的死物表面上的欢快飞驰。

"Why does his one eyebrow move up and not the other?"

"为什么她的一只眼睛向上翻而另一只不动？"

The father had long ago taken up his bundle and hidden himself away with it, when the women who had tended the bundle while it lay on the base of the fountain, sat there watching the running of the water and the rolling of the Fancy Ball--when the one woman who had stood conspicuous, knitting, still knitted on with the steadfastness of Fate.

那父亲早带着他的包裹躲得不见了。刚才曾照顾过躺在泉边的包裹的妇女们在泉边坐了下来，望着泉水汩汩流过，也望着化装舞会隆隆滚过。刚才惹眼地站在那儿织毛线的妇女还在织着，像个命运女神一样屹立不动。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。