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Secondly, regarding the diffusion rate as a bifurcation parameter, we show that the one-dimensional competition diffusion system with infinite delay and Dirichlet boundary condition exhibits the spatiotemporal structure near the steady state of the system.

介绍问题的生物学背景,概述Logistic模型和Volterra模型的研究历程并提出我们所研究的课题,另外还给出了所需的基础理论。

At last, we are concerned with the global existence and asymptotic behavior of smooth solution to the initial boundary value problem for the bipolar hydrodynamic model with the Neumann and Dirichlet boundary condition in the one-dimensional case, respectively. The difficulties from the coupled action between electrons and holes are carefully dealt with.

另外,本文也深入研究一维空间双极半导体流体动力学模型初边值问题光滑解的整体存在性及其衰减性,分别讨论了两类在实际应用中重要的边值条件,克服了由于电子和空穴之间的耦合作用所带来的困难。

The eigenvalues and eigenfunctions of Laplacian with Dirichlet boundary condition on equilateral triangles are derived from one dimensional representation of D3 group.

由D3群一维表示,得到了正三角形上满足Dirichlet边界条件拉普拉斯算子的本征值和本征函数,并讨论了本征函数的对称性。

The transmittance and dispersion relations of one-dimensional photonic crystals containing negative refraction materials were calculated.

利用这一特征可以制造高品质的宽带全方位反射镜,有望在半导体量子阱激光器、共振腔光发射二极管等光电子器中的谐振腔中发挥重要作用。

It suggests the possibility to make one-dimensional doped structures with novel physical and device characteristics.

这说明通过掺杂的方式制备具有新颖的物理和器件特性的一维纳米结构是可能的。

Applying Doss\'s method, we can get explicit solutions of the multivalued stochastic differential equations in one dimensional.

即通过解一个常微分方程和一个多值常微分方程得到这类多值随机微分方程的解。

Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.

具体地,本文的结构如下:第一章给出了问题产生的背景,研究现状及本文的主要工作;第二章研究了在边界上逗留后随机跳的布朗运动,我(来源:3dABC论文网www.abclunwen.com)们用预解算子的方法得到其无穷小生成元,因为无穷小生成元的定义域本质上就是预解算子的值域,知道这个值域和微分算子形式就能唯一地决定无穷小生成元;由于DHJ过程产生的半群不是强连续的,为利用强连续半群的一些漂亮性质,在第三章中我们证明其对偶半群是强连续的,然后由谱半径公式得到遍历性并且最后由对偶得到遍历定理;第四章讨论了Feller在1954年引入的更广的一类过程----一维Feller扩散过程,Feller扩散过程允许有从边界到边界的跳发生,即不仅仅局限于从边界到内部的跳,在这一章中,我们给出了一维Feller扩散过程的平稳分布;在第五章,我们讨论了一些相关的问题,给出了DHJ过程对应的PDE问题及特征值与收敛速度的关系。

With Java as design tool, general principle and step of The design and realization of virtual experiment of statistical Mechanics was instructed through completing the design of two concrete examples: elastic collision model of single particle in a vessel and one-dimensional Brownian motion , and has summarized the experience and lessons in the design process.

摘要以 Java 语言为设计工具,通过完成单个粒子在容器中作弹性碰撞和一维布朗运动两个虚拟物理实验的设计,阐明了设计与实现统计物理虚拟实验的一般原则和步骤,并分析了实验结果,发现我们的模拟与实际实验"真实"的一致。

The purpose of this paper is to study the electromagnetism characters of one-dimensional photonic crystal containing left-handed materials.

本文将这两种奇特的材料结合起来,研究含左手物质的一维光子晶体的电磁特性。

By mapping a one-dimensional function of time, the time-frequency representation can localize the signal energy in both the time and frequ ency directions.

通过对一个一维时间或频率信号进行变换,其时频表示能够在时间-频率平面上描述信号的能量分布。

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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。

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