Journal of Applied Mathematics
Volume 2004 (2004), Issue 6, Pages 479-494
doi:10.1155/S1110757X04305024
Error bound analysis and singularly perturbed Abel-Volterra
equations
The New York University in London, 6 Bedford Square, London WC1B 3RA, UK
Received 5 May 2003; Revised 16 June 2004
Copyright © 2004 Angelina M. Bijura. 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
Asymptotic solutions of nonlinear singularly
perturbed Volterra integral equations with kernels
possessing integrable singularity are investigated
using singular perturbation methods and the
Mellin transform technique. In particular, it is
demonstrated that the formal approximation is
asymptotically valid.