Journal of Applied Mathematics
Volume 2004 (2004), Issue 6, Pages 479-494

Error bound analysis and singularly perturbed Abel-Volterra equations

Angelina M. Bijura

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.


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.