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.

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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.

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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.

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