A Fredholm Integral Equation of the Second Kind

(1) |

(2) | |||

(3) | |||

(4) | |||

(5) |

where

(6) | |||

(7) | |||

(8) | |||

(9) |

The Neumann series solution is then

(10) |

**References**

Arfken, G. ``Neumann Series, Separable (Degenerate) Kernels.'' §16.3 in
*Mathematical Methods for Physicists, 3rd ed.* Orlando, FL: Academic Press, pp. 879-890, 1985.

© 1996-9

1999-05-25