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

Angelina M. Bijura

 The New York University in London, 6 Bedford Square, London WC1B 3RA, UK
Received 5 May 2003; Revised 16 June 2004

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.