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The poor thing couldn't bear that: she grew white and red in rapid succession, and, while tears beaded her lashes, bent the strength of her small fingers to loosen the firm clutch of Catherine; and perceiving that as fast as she raise one finger off her arm another closed down, and she could not remove the whole together, she began to make use of her nails; and their sharpness presently ornamented the detainer's with crescents of red.

只见 她脸上白一阵红一阵,接连地变着颜色,眼泪像明珠般挂在睫毛上。她纤细的手指竭力想掰开卡瑟琳的紧紧地抓她的手;可是她才从自己手臂上掰开一只手指儿,另一只手指儿又压下来了,再没法把五个手指儿一齐拔掉;看到这样,她就使用起手指甲来了。那尖尖的指甲顿时在那紧抓着的手指儿上面画出几条鲜红的新月形来。

Lions and some other variational methods, we prove the existence of nontrivial solutions of the equations under the Dirichlet boundary condition.

ions的集中紧性原理等变分方法,得到了方程在Dirichlet边值条件下的非平凡解的存在性。

In part V using Lions' second Concentrate Compactness Lemma andvariational method,we prove the existence of minimal positive solutionof a class of quasilinear elliptic obstacle problems〓in space〓.

第五部分使用Lions的集中紧性原理和变分方法,我们证明了一类非齐次拟线性椭圆型方程对应的障碍问题〓在〓中极小正解的存在性。

The local gauge group is infinite dimensional and not lo-cally compact,hence the existence of an invariant measure deserves careful study.

局域规范群是无限维和非局部紧致的,因此其上不变测度的存在性值得仔细研究。

It is abtained that these local paracompactnesses are invariable under some order homomorphism.

这些局部仿紧性在某种序同态下是保持不变的。

A L(superscript ∞) bound estimate is provided on the solutions of a semi-linear parabolic system by the theory of phase transitions. The existence of solutions of corresponding hyperbolic system of conservation laws is studied by viscosity methods and compensated compactness framework.

讨论来源于物理相变理论的一类半线性抛物型方程组解的一致L估计,该结果是利用粘性法和补偿列紧框架研究相应的双曲型守恒律解的存在性的重要内容。

A L∞bound estimate is provided on the solutions of a semi-linear parabolic system by the theory of phase transitions.The existence of solutions of corresponding hyperbolic system of conservation laws is studied by viscosity methods and compensated compactness framework.

讨论来源于物理相变理论的一类半线性抛物型方程组解的一致L∞估计,该结果是利用粘性法和补偿列紧框架研究相应的双曲型守恒律解的存在性的重要内容。

Such an invariant measure is known to existonly for locally compact groups.

这样一种不变测度仅对于局部紧致群是知道存在的。

In Chapter 4, for a discrete dynamical system defined on a compact metric space, we prove a necessary and sufficient condition for an invariant set to be a periodic orbit.

第四章,对于定义在紧致度量空间上的离散动力系统,给出了一个不变集是一条周期轨道的一个充分必要条件。

Under some conditions, we prove that random nonuniformly exponential dichotomy actually imply random uniformly exponential dichotomy. And, using the normal Lyapunov exponents, we also obtain a sufficient condition under which a random compact and invariant subset is a random forward attractor. This is a generalization of the results of Ashwin\'s.

在一定条件下,我们证明了随机非一致指数二分性蕴含着随机一致指数二分性,同时,利用法向Lyapunov指数,我们还给出了一个紧致的随机不(来源:A5cBc765C论文网www.abclunwen.com)变集能成为随机吸引子的一个充分性条件,推广并改进了Ashwin的一些结果。

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从有历史以来,英国,在此地早期居住的是凯尔特人,已经被征服了三次。

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