先给出这些问题的提法，然后使用列紧性原理和极值原理证明了上述二阶椭圆型方程边值解的存在性和唯一性。
Fristly the boundary value problems for the equations is formulated, and then by using the compactness principle, the existence of solutions for the above problems is proved.
摘要通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
通过找出两端边界层的不变流形，并且给出边值条件解耦的条件，成功构造了边界层函数。
Boundary functions are successfully constructed through finding out invariant manifolds at both end boundary layers and giving out decoupling conditions of boundary value conditions.
利用打靶法、上下解方法和不动点定理等工具，研究有孔区域上一类具非局部边值条件的非线性扩散方程。
The shooting method, sub and super solution method, and fixed point theorem were used to study a class of nonlinear diffusion equations with nonlocal boundary value condition in perforated domains.
本文列出了一维点阵非谐振动的非线性微分方程组，并求出了这组方程在相应边值条件下的解析解。
The exact solutions of a set of non-linear differential equations with limiting conditions describing the anharmonic vibration of a one-dimensional lattice have been obtained.
本文对线性时滞微分方程边值函数问题提出一种级数近似解方法。
In the present work, a method for solving the linear delay differential equations of the boundary-value function problem by using Taylor series is given.
本文对弹性波动方程的解进行了探讨，给出了初边值内题解的解析表达式。
A solution of elastic wave equation: is studied in this paper. An analytic expression of solutions of the initial boundary value-problems is given.
通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
广义静定问题解由角点集中力解、体力分量解和计算边值条件解组成，这三种解要满足不同的变形协调条件，必须分别计算。
For the determinate problem, the final solution is composed of the corner concentrated force solution, the body force solution and the computed boundary-value condition solution.
广义静定问题解由角点集中力解、体力分量解和计算边值条件解组成，这三种解要满足不同的变形协调条件，必须分别计算。
For the determinate problem, the final solution is composed of the corner concentrated force solution, the body force solution and the computed boundary-value condition solution.
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