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Chapter 6, consider a coupled generalized KdV-Burgers equation. In section 6.2, we study the initial-boundary value problem in the semi-unbounded domain, the existence of global solutions and global attractors is proved by means of a uniform priori estimate for time. In section 6.3, the Cauchy problem by using the weighted space, the existence of the global attractors for a coupled generalized KdV-Burgers in an semi-unbounded domain is proved.

第六章,考虑了一类广义耦合的KdV-Burgers方程,在第二节中讨论了半无界区域上的初边值问题,证明了整体光滑解和整体吸引子的存在性;在第三节中讨论了Cauchy问题,利用加权函数和加权空间上的插值8不等式,证明了半无界区域上整体吸引子的存在性。

In this dissertation, we discuss some problems related to infinite dimensional dynamical systems, and sketch the outline of the development of infinite dimensional dynamical systems in recent years.

中文摘要:这篇文章中,我们讨论了无穷维动力系统中和吸引子相关的一些问题,介绍了无穷维动力系统近几十年来的发展现状,而且具体考查了部分耗散反应扩散方程的解的长时间行为,在该方程的紧吸引子的存在性基础上,得到了该吸引子的正则性的一些结果。

Several sufficient conditions for judgement of the invariant set and the attraction for the equations are obtained by using the properties of nonnegative matrices and some analytical methods.

对一类大型非线性偏泛函微分方程的渐近行为进行研究,利用非负矩阵性质和适当的分析技巧,建立了判断其不变集和吸引性的充分条件。

Based on practically stable principle, this paper extends the concept of sliding mode to sliding zone attraction and presents a new velocity observer for robotic tracking control It can guarantee observational error is irrelative to motion trajectory. By means of it, a robust controller is further derived.

本文基于实际稳定性原理,推广了滑动模控制,提出了滑动域吸引性设计思想,并以此设计了机械手速度观测器,以及基于观测器的机械手输出反馈控制系统,与以往观测方案不同的是,这一观测器可以保证其观测误差与机械手运动轨迹无关。

The global attractivity of the recursive sequenceis investigated, we show that one positive equilibrium point of the equation is a global attractor with a basin that depends on certain conditions posed on the coefficients.

我们首先在第二章讨论了方程的全局吸引性,并证明了方程的一个平衡点在某一和系数有关的区域内是一个全局吸引子。

Last we obtain globally asymptotically stability of boundary equilibrium by applying locally asymptotically stability and attractiveness and persistence by using uniform repeller theorem.

在第二章中研究了一类具有时滞的捕食与被捕食系统,分析了系统的正不变集,运用了特征值理论得到了边界平衡点性质,当时滞很小时,得到了系统在正平衡点局部渐近稳定的充分条件,以及当T增加到T_0时,系统在正平衡点附近产生Hopf分支的充分条件;利用局部渐近稳定性加吸引性得到了边界平衡点全局渐近稳定性的充分条件,且应用一致排斥定理得到了种群持久生存的条件。

Satio and Takeuchi proposed this model and then they establishedsu?cient conditions for global attractivity of an interior equilibrium.

Satio和Takeuchi提出了该模型并且给出了保证全局吸引性的充分条件。

However, due to the substantially different allocation of resources in various geographic regions, along with their own characteristic formation, agglomerate economies show rather a strong tendency of unhomogeneity, which leads to the unhomogeneous characteristics of their advantages regarding FDI attraction. Therefore, this paper proposes there exists an interactive relationship between the primary advantage and the multi-level agglomerate advantages by dividing the latter one into original agglomerate advantage and late-developing agglomerate advantage.

本文认为虽然随着经济全球化和信息技术的进一步发展,基础性优势的重要性逐步下降,从一种显性优势转化为潜在优势,是东道国吸引FDI的一种比较优势,集聚性优势则起着越来越重要的作用,是东道国吸引FDI的一种竞争优势,两者之间存在着质的差别,但作为分别作用于国家和次国家两个不同层面上的优势,基础性优势和集聚性优势之间存在着互动互补关系,基础性优势是集聚性优势形成的前提,集聚性优势则是对基础性优势的提升,两者共同构成了东道国吸引FDI的二重优势,在东道国吸引FDI中缺一不可。

Furthermore, we found that the Sema3F-triggered growth cone attraction was abolished by inhibition of the cGMP signaling pathway but not by inhibition of the cAMP signaling pathway, and the attraction was suppressed when elevating the intracellular cGMP level.

而且,在组织块共培养中,分泌Sema3F的细胞团能使小脑颗粒细胞偏向它迁移。我们发现Sema3F的吸引性作用在cGMP信号通路被抑制时受阻断,在细胞内cGMP水平增加时被削弱。

The objects of study in this paper are some dissipativeSchrodinger equations,including a third order nonlinear Schrodinger equation with fiberloss term which derives from the propagation of optical soliton in a monomode fiber,theweakly damped Schrodinger equation in dimension three,the nonautonomous Ginzburg-Laudau equation and so on.

本学位论文的研究对象是一些耗散型的非线性〓方程,包括描述单模光纤中光孤立子传播的三阶〓方程,三维弱阻尼〓方程和非自治Ginzburg-Landau方程等,研究内容涉及这些方程的整体解的存在唯一性,整体吸引子的存在性,吸引子的正则性,吸引子的维数估计,吸引子的流形逼近,周期解和全局周期吸引子的存在等等。

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我不赞成死刑——这是以牙还牙的报复行为。

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并给你们所须的支援,我们正徵召国家所有各种的力量:我们的外交及发展,我们的经济力量与道德劝说,所以你们与其他军人不须要孤独地负起国家安全的责任。

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