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Under a resonance condition,a unique existence of generalized solution to the Direchlet boundary value problem of the semi-linear elliptic partial differential equations is given,and this extended partially the results that was known.

利用极小极大原理,在共振条件下,证明了一个半线性椭圆偏微分方程Direchlet边值问题广义解的存在唯一性定理,从而推广了已知的一些结果。

We prove the local solvabiity of the problem by schauder fixed point theorem , and establish the existence and the inexitence of global solutions.

证明了Neumann 边值问题古典解的局部存在性,并给出了整体解存在和解在有限时刻内爆破的充分条件。

This paper proposes a network parallel computing approach for hydromechanical problem on rectangle domain using line-relaxation method.A multigrid method with virtual nodes for the second kind boundary condition and a parallel scheme of zebra-line-relaxation multigrid technique are discussed.

提出了一个用线松弛法解决长矩形区域流场问题的网络并行方案,详细讨论了使用虚拟节点处理第2类边值条件的多重网格技术和斑马线松弛多重网格技术的并行化方法,给出了从计算方法到它的并行化的完整过程。

The second part is devided into two chapters, it\'s main aim is to study the global solutions to 1-d compressible Navier-Stokes equations, and it is organized as follows:In Chapter 2, we introduce the second boundary value problem for the compressible Navier-Stokes equations in the half space.

第二部分分为二章,主要讨论一维可压Navier-Stokes方程整体解的存在性,其中:第二章讨论了不可渗透问题(流体的速度在边界上为0情形),其中对温度给出了第二边值条件。

The permutation procedure is used to determine the significance of the test statistics.

图中边的存在性用基于线性条件互信息的枢轴量检验,枢轴量的显著性用置换检验决定。

This paper aims to examine a class of the problems of third order nonlinear boundary value of singular perturbation by way of transforming unknown function.

以变换未知函数的方式研究一类奇摄动三阶非线性微分方程边值问题,在适当条件下,构造出问题的上下解。

Singular boundary value problems are considered in many problems, but, people can get better results, using theories of function to study these problems.

然而,在抽象空间中对奇异边值问题的研究,还不是很多,刘衍胜教授在文[4]中做过一些探讨,本文第一章把原文作了一般性推广,并给出了算子全连续的条件,然后利用不动点定理得到了正解的存在性。

This paper deals with the singular perturbation of the boundary value problem of a class of third order nonlinear differential equations.

研究一类三阶非线性微分方程边值问题的奇摄动,由于退化问题是一阶微分方程,将失去两个初值条件,所以摄动解在x=0的某一邻域内将出现非一致性。

Because slack has changed the underground water condition which led to the gathering of underground water at the mudstone cleavage zone, and has decreased the resistance, of which the synthetic 〓 is about 13°, it has made the rock mass about the cleavage slide slsde in the western direction.

从边坡岩体地质力学调查分析、岩体结构分析和采煤对滑坡的影响分析,得出滑坡形成的机理,采煤使P〓岩层中沿NW10°~20°/W15°劈理带贯通而移动,由于松弛改变了地下水条件,使地下水向之集中,该泥质劈理带在过水下摩阻力降低,其综合φ为13°左右,使上覆岩体沿之向西滑动。

Model:The mathematic model of one kind of oin reactions for the problomof groundwater[47,48]:whereis a bounded domain with smoothy boundary.J=0,T.D>d>0is the diffusion coeffcients,ρ>0 is the density of the solid,which are all constants.

模型:地下水污染问题中一类离子反应数学模型[47,48]:〓其中〓为具有光滑边界的有界区域,J=0,T。这里D>d>0为扩散系数,ρ>0为固体颗粒密度,均为常数。〓初边值条件为

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