Main Page | See live article | Alphabetical index The Liouville-Neumann series is an infinite series defined as which is a unique, continuous solution of a Fredholm integral equation of the second kind. If the nth iterated kernel is defined as then The resolvent or solving kernel is given by hence the solution of the integral equation becomes Similar methods may be used to solve the Volterra equations. This article is from Wikipedia. All text is available under the terms of the GNU Free Documentation License.