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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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X04305024 |
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| _version_ | 1849467317081079808 |
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| author | Angelina M. Bijura |
| author_facet | Angelina M. Bijura |
| author_sort | Angelina M. Bijura |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-de60d0a5c56d48e884c3a7b2e0a0c60e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-de60d0a5c56d48e884c3a7b2e0a0c60e2025-08-20T03:26:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422004-01-012004647949410.1155/S1110757X04305024Error bound analysis and singularly perturbed Abel-Volterra equationsAngelina M. Bijura0The New York University in London, 6 Bedford Square, London WC1B 3RA, UKAsymptotic 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.http://dx.doi.org/10.1155/S1110757X04305024 |
| spellingShingle | Angelina M. Bijura Error bound analysis and singularly perturbed Abel-Volterra equations Journal of Applied Mathematics |
| title | Error bound analysis and singularly perturbed Abel-Volterra
equations |
| title_full | Error bound analysis and singularly perturbed Abel-Volterra
equations |
| title_fullStr | Error bound analysis and singularly perturbed Abel-Volterra
equations |
| title_full_unstemmed | Error bound analysis and singularly perturbed Abel-Volterra
equations |
| title_short | Error bound analysis and singularly perturbed Abel-Volterra
equations |
| title_sort | error bound analysis and singularly perturbed abel volterra equations |
| url | http://dx.doi.org/10.1155/S1110757X04305024 |
| work_keys_str_mv | AT angelinambijura errorboundanalysisandsingularlyperturbedabelvolterraequations |