solving nonlinear integral equations numerically with mathematica?

*To*: mathgroup at smc.vnet.net*Subject*: [mg95249] solving nonlinear integral equations numerically with mathematica?*From*: Mitch Murphy <mitch at lemma.ca>*Date*: Mon, 12 Jan 2009 06:25:25 -0500 (EST)

is it possible to solve nonlinear integral equations numerically with mathematica? i'm trying to solve the following integral equation for the function p[x]: (1 + x^2/5)^(-5) Exp[ArcTan[x]] == p[x] Integrate[p[s] Exp[.5 x s], {s, -Infinity, Infinity}] note this integral equation is nonlinear, ie. not of fredholm or volterra type, due to multiplicative p[x] in front of the integral. i've looked around the documentation for dsolve, ndsolve, ..., but i couln't find any mention of integral equations in the mathematica documentation. searching this list didn't yield much either. any ideas/suggestions? thanks, Mitch