Error bound analysis and singularly perturbed Abel-Volterra equations

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...

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Bibliographic Details
Main Author: Angelina M. Bijura
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/S1110757X04305024
Description
Summary: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.
ISSN:1110-757X
1687-0042