英语翻译We have shown that with the necessary modiﬁcatons

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英语翻译
We have shown that with the necessary modiﬁcatons the Adomian’s method
can be used to obtain the classical results on the special functions.Rather
than prescribe a unique form we show that the concrete problem decides
how to formulate the method.The clue of this one consists in transforming
a linear diﬀerential equation into a pseudo Volterra integral equation whose
solution is obtained by the Picard process of succesive approximation.
The method can be obtained by a light modiﬁcation of the known form of
the solution for a linear second order diﬀerential equation,the sole diﬀerence
being the extension of what is ussualy called the non-homogeneous term in
the sense that it can include important pieces from the homogeneous part.
Our results can also be seen as a good illustration for the eﬀectivness of
the Picard method of succesive approximation.

我们已经表明,必要的modificatons Adomian的的方法
　　可用于获取经典结果的特殊功能.而
　　比开了一个独特的形式,我们表明,具体问题决定
　　如何制定方法.这一线索在于转变
　　线性微分方程变成一个伪沃尔泰拉的积分方程
　　解决方案是通过succesive过程的Picard近似.
　　该方法可以获得一个光的修改

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