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分析 >> 数学分析
Questions in category: 数学分析 (Mathematical Analysis).

$\mu''_{xx}-\mu''_{yy}=f(x,y)$

Posted by haifeng on 2016-04-05 16:44:41 last update 2016-04-05 16:44:41 | Answers (0) | 收藏


设 $f(x,y)$, $f'_y(x,y)$ 连续, 

\[
\mu(x,y)=\frac{1}{2}\int_{0}^{x}dt\int_{t-x+y}^{-t+x+y}f(t,s)ds
\]

证明:

\[
\mu''_{xx}-\mu''_{yy}=f(x,y).
\]