Integral equation solution in power series

Asked May 26 '14 at 09:54

Active May 27 '14 at 13:11

Viewed 144 times

Given the integral equation

$$ g(x)= \int_{-\infty}^{\infty}K(x-y)f(y) \, dy$$

for a known function $ g(x) $ and kernel $ K(x)$.

Of course I know this is a Wieener-Hopf integral equation but I would like to know another formula, if possible in power series to solve this equation. Thanks.

edited May 27 '14 at 13:11

Harry Peter

7,819

asked May 26 '14 at 09:54

Jose Garcia

8,506

You forgot to put $ dy $. – hjpotter92 May 26 '14 at 09:55
Did you consider the Fourier transform? – Matt L. May 26 '14 at 10:27
i know how to solve it with the foruier tranfsorm of course i was asking if there is another method to solve this integral equation for example by power series – Jose Garcia May 26 '14 at 10:51

Integral equation solution in power series

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