Journal of Applied Mathematics

Journal of Applied Mathematics / 2004 / Article

Open Access

Volume 2004 |Article ID 367109 | https://doi.org/10.1155/S1110757X04305024

Angelina M. Bijura, "Error bound analysis and singularly perturbed Abel-Volterra equations", Journal of Applied Mathematics, vol. 2004, Article ID 367109, 16 pages, 2004. https://doi.org/10.1155/S1110757X04305024

Error bound analysis and singularly perturbed Abel-Volterra equations

Received05 May 2003
Revised16 Jun 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.

Copyright © 2004 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.


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