查询词典 homeomorphism

By using homeomorphism method and the extended inverse function theorem,the existence and uniqueness of the solution for the semi-linear pseudoparabolic equations is obtained.

首先在Hilbert空间中建立了强制不等式，利用同胚方法和抽象的反函数定理，得到了半线性伪抛物方程初边值问题解的存在性和惟一性定理。

It was proved that under Lipschitz coefficients, the solutions of SDEs driven by Brownian motion or a continuous semimartingale form a stochastic homeomorphism flow.

在方程系数Lipschitz连续的条件下，由Brown运动或连续半鞅驱动的随机微分方程的解形成一随机同胚流。

Some existence and uniquencess results are obtained for the nonlinear fourth order elliptic boundary value problems by using some results about the global homeomorphism theory and dynamical system theory respectively.

分别利用全局同胚理论和动力系统理论的一些结论，研究了非线性四阶椭圆边值问题解的存在性与唯一性。

The existence and uniqueness of the solution to the equation are verified based on the homeomorphism theory, and an example is given to show the rationality of the solution.

数值求解拟线性抛物型偏微分方程边值问题通常可归结为解非线性方程组，非线性方程组解的存在与惟一性是解方程组的前提。

We prove in this paper that topological entropy is zero, in systems of equivariant mapping, that systems of compression mapping, and systems of the homeomorphism of unit circle onto itself, while the toppological entropy is positive, that extensible mapping in the compact toppological metric space.

证明了在一般的紧致度量空间上，等距映射的系统，压缩映射的系统，单位圆上的自同胚映射的系统等的拓扑熵都为零，而可扩映射的系统有正的拓扑熵。

Mathematical jargon includes technical terms such as homeomorphism and integrable .

此外，词，如开放和领域得到了专门的数学意义。

The present paper presents the chain recurrent set with the expansive homeomorphism and shadowing properties and this connection for the mistake in literature [1] and its proof.

给出具有跟踪性可扩同胚的链回归集的几个性质，指出以往文献中证明链回归集无环性时的错误之处，并给出严格的证明。

In this paper, the following statements were proved: is chaintransitive if and only if is chaintransitive; if a homeomorphism is a Lipschitz map, then has the average shadowing property if and only if has the average shadowing property.

设是紧致度量空间，：X→X是连续的，n为任一给定的正整数，证明了：是链可迁的当且仅当是链可迁的；若同胚是Lipschitz映射，则有平均跟踪性当且仅当有平均跟踪性。

In the first part, the concepts of the completely normal spaces and strong completely normal spaces in L-topological spaces are defined, which are the generalization of the completely normal spaces in general topological spaces. They are some good properties such as hereditary, weakly homeomorphism invariant properties, good L-extension, but they arent producible in general.

第一部分的主要内容如下：第一部分这一部分是将一般拓扑学的完全正规分离性的概念推广到了L-拓扑空间，给出了L-拓扑空间的完全正规分离性和强完全正规分离性的定义并讨论了它们的若干性质，比如，它们都是可遗传的，弱同胚不变的，"Lowen意义下好的推广"等。

Homtopy theory is the study of topological spaces using a broader equivalence than homeomorphism.

等变同伦满态与等变同伦单态方体定理

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。