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.

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。

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By the first integral method, the existence, uniqueness and nonexistence of solutions for some nonlinear ordinary differential equations with singular boundary condition are discussed.

用首次积分法，讨论了带奇异边界条件的非线性常微分方程解的存在性、不存在性和唯一性。

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Based on the stationary condition of energy functional, we set up the integral theorem along the boundary of arbitrary element and get the energy release quantity with the integral theorem.

根据裂纹扩展时能量泛函的驻值条件，建立了任意元素的围道积分定理。

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