查询词典 difference boundary value problem

In Chapter 2,I consider a queuing system in which there are two exponential servers, each having his own queue, and arriving customers will join the two queues separately, and analyze the two-dimensional Markov process representing the numbers of jobs in the two stations. A functional equation for the generating function of the stationary distribution of this two-dimensional process is derived and solved through the theory of Riemann-Hilbert boundary value problems. In Chapter 3, I consider the system with two parallel queues, in which arrivals join the shorter queue.I describe the problem of coupling and show that the generating function Fcan be continued as a meromorphic function to the whole complex plane.

全文包括三大部分：第一章介绍了基本的背景、研究进展和文章主要采用的方法；第二章研究的是有两个服务员共享的简单的排队方式的模型，即每个服务员有各自的队列，两队队长互不相关，分析了代表两个队长的二维马尔柯夫过程，推导出了二维过程的平稳分布的母函数的方程，并运用Riemann—Hilbert边值问题理论解出了母函数的表达式；第三章研究的是JSQ-PS模型(the joining the shortest queue model with processor sharing)，模型是组合了加入最短队模型和处理器共享模型而成的有用排队模型。

We begin by recapitulating the complete list of equat s for a mixed boundary-initial value problem.

开始时，我们重新列出适用于混合边值问题的那些方程的完备表。

In chapter 4, using a space discretization and employing the method of induction, we prove that there exists a unique global regular solution for homogeneous Neumann boundary value problem of one-dimensional Landau-Lifshitz equation.

第四章，首先我们利用空间半离散方法及先验估计得到了一维Landau-Lifshitz方程齐次Neumann边值问题局部正则解的存在性，继而在整体先验估计的基础上证明了整体正则解的存在性与唯一性。

The series solution for boundary value problem of nonhomogeneous harmonic equation with variable coefficient is obtained.

使变系数非齐次调和方程边值问题的求解有了新的进展。

The method is convenient to be used, especially to nonhomogeneous equations and nonhomogeneous boundary value problem.

用微分算子法给出了线性扩散方程和波动方程的通解及初值以及边值相关问题的算子解，特别是对非齐次方程和非齐次边界问题处理尤其简捷适用。

The original optimal control problem is transformed into a sequence of nonhomogeneous linear two-point boundary value problems.

研究状态变量含有时滞的线性离散系统在正弦扰动下的前馈－反馈最优减振控制问题。

By using the method of upper and lower solutions ,we obtain the existence of solutions for boundary value problem of second order integro differential equations of Volterra type in a normal cone.

利用上、下解法在正规锥上证明了二阶非线性Volterra型积分微分方程边值问题解的存在性。

A class of singularly perturbed boundary value problem of weakly nonlinear equation for fourth order on the finite interval with two parameters is considered.

讨论了一四阶具有双参数的弱非线性方程在有限区间上的奇摄动边值问题。

In thrid part we claim that the estimate of the above and of the first initial-boundary value problem for parabolic type equations are still holds under the sec-ond nature structure conditions.

第三节我们说明：第二类自然结构条件下结果也成立，同第一类无多大区别，因而，我们的结果也对第二类自然结构条件下的完全非线性抛物型方程相应的定解问题成立。

Singular boundary value problem; Fixed-point theorem; Cone; Positive solution

基础科学，数学，数学分析奇异边值问题；不动点定理；锥；正解

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。