边值

In this paper,the author discusses the multi-layer solution with two special limits in boundary layer of the singularly perturly boundary value problem and obtains uniformly valid zero order asymptotic expansion by using the matching asymptotic expanding method.

利用匹配渐近展开法，讨论了奇摄动边值问题中边界层内存在有两个特异极限的多层解，得出了奇摄动边值问题的一致有效的零次渐近展开

In Chapter 1, two solutions to the elliptical boundary value problem have been constructed through a monotone iterative process, and they might be identical. In Chapter 2, the author expresses the local solution to the parabolic initial boundary value problem taking advantage of Green function. In Chapter 3, the asymptotic solution to the initial value problem of Duffing equation is obtained and the method for finding the approximate solution to the inverse problem is put forward.This paper is planned with a view to the author's research means.

从研究结果看：第一章通过单调迭代过程构造出椭圆型方程的边值问题的两个解，并且指出二者可能是同一个解；第二章利用格林函数给出了抛物型方程的初边值问题的局部解的解析表达式；第三章中，先对Duffing方程的初值问题写出解的渐近展开式，再对其反问题提出一种求近似解的方法。

The existence of solutions for multi-point boundary value problem with p-Laplacian operator is investigated by using monotone iterative method, h is proved that boundary value problem has at least one positive solution under suitable conditions.

研究带p-Laplace算子的非线性微分方程的多点边值问题解的存在性，应用单调迭代，给出了这类边值问题存在解的充分条件，还给出了向正解靠近的单调集。

This research method is independent of Green"s function and variational structure. So it can tackle with the BVP for non self-adjoint and self-adjoint difference equations and overcome the difficulties brought about by the establishment of Green"s function, a study of the sign and the estimate of below and above bounded for Greens function.

本章的研究方法既不依赖于Green函数又不依赖于变分结构，因而能解决非自共轭的差分方程边值问题，且克服了Green函数的建立、其符号的判断及其上下界的估计给研究带来的困难，该方法同样适用于研究自共轭的差分方程边值问题。

Furthermore, it can be changed into singular integral equations with Cauchy kernel by introducing Sherman transformation. Then , the numerical example of the elastic welding problem with symmetric cracks is given, and the stress intensity factors can be obtained.

通过应用平面弹性复变方法，把满足已知边界条件的弹性平衡问题转化为解析函数的边值问题，再通过引入Sherman变换，把边值问题化为Cauchy核的奇异积分方程组。

The researches in this paper have offered solutions to initial value problem for ordinary differential equation involving difference of two monotone functions, ordinary differential equation with integral boundary conditions, and first-order impulsive ordinary differential equation with anti-periodic.

本文结果包含了具有两个函数差的常微分方程初值问题(当 Ik=Gk=0，λ1=λ2=0 时)，常微分方程积分边值问题(当 Ik=Gk=0，g=0，λ1=0，λ2=±1时)，一阶脉冲微分方程反周期边值问题(当 g=0，Gk=0，λ2=d=0 时)的相关结果。

At last, in Section 3, we calculate the Pohozaev identity for p-harmonic equation under Navier or Dirichlet boundary condition from which we obtain the corresponding nonexistence of nontrivial solutions for p-harmonic equations with critical growth.

最后在第三节中，我们分别对带Navier边值条件和Dirichlet边值条件的p-调和方程的Pohozaev恒等式作了演算，并利用这些恒等式得到了相应的p-调和方程临界增长问题的非平凡解的非存在性结果。

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。

Compared with the known results,the nonlinearity is allowed to change sign and is involved with the first-order derivative explicitly.In particular,the boundary condition includes the Dirichlet boundary condition and Robin boundary condition.

与现有工作相比，我们所考虑的动力方程不但非线性项可变号，而且包含一阶导数项，所考虑的边值条件更具一般性，比如可以包含Dirichlet及Robin边值条件等。

Based on the given results of second order boundary value problem, the existence of solutions of nonlinear boundary value problem of Volterra type integro-differential nonlinear equation was established. The uniquess of solution was obtained by applying disproof method.

以二阶边值问题的已知结果为基础，建立了Volterra型积分微分非线性边值问题的解的存在性，再利用反证法获得了解的惟一性。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。