Stability and convergence of the model are proven by means of the weak convergence theorem of generalized function and the convolved integration theory.

由广义函数弱收敛定理和卷积理论，证明所提出的非局部连续模型具备收敛性和稳定性。

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By using generalized function, an accurate integration method is developed to get the explicit formulation of the matrixes involved. This can improve the accuracy and efficiency of the method.

利用广义函数给出了一种精确积分方法，可以得到有关矩阵的显式表达，得到提高了求解精度和效率。

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