Abstract and Applied Analysis
Volume 5 (2000), Issue 1, Pages 47-63
http://dx.doi.org/10.1155/S1085337500000063
A Picard-Maclaurin theorem for initial value PDEs
Department of Mathematics, James Madison University, Harrisonburg 22807, VA, USA
Received 15 February 1999
Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In 1988, Parker and Sochacki announced a theorem which proved that the Picard iteration, properly modified, generates the Taylor series solution to any ordinary differential equation (ODE) on