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A solution of Cauchy's problem of heat conduction equation is constructed with the concept of generalized function.
利用广义函数的概念构造出热传导方程柯西问题的解。
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。
By using the generalized function in the linear array synthesis the direction diagram with approximate flat top in wide Angle region and with or without a single side lobe can be obtained.
将广义函数用于线天线阵综合，可得到广角近似平顶的方向图，亦可得到具有单一付瓣和无付瓣的方向图。
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