Singularly perturbed Volterra integral equations with weakly singular kernels
We consider finding asymptotic solutions of the singularly perturbed linear Volterra integral equations with weakly singular kernels. An interesting aspect of these problems is that the discontinuity of the kernel causes layer solutions to decay algebraically rather than exponentially within the ini...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120201325X |
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doaj-d74b192d0d444cc68e75b1f433b76f1d2020-11-24T22:55:54ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0130312914310.1155/S016117120201325XSingularly perturbed Volterra integral equations with weakly singular kernelsAngelina Bijura0Department of Mathematics, University of Dar es Salaam, P.O. Box 35062, Dar es Salaam, TanzaniaWe consider finding asymptotic solutions of the singularly perturbed linear Volterra integral equations with weakly singular kernels. An interesting aspect of these problems is that the discontinuity of the kernel causes layer solutions to decay algebraically rather than exponentially within the initial (boundary) layer. To analyse this phenomenon, the paper demonstrates the similarity that these solutions have to a special function called the Mittag-Leffler function.http://dx.doi.org/10.1155/S016117120201325X |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Angelina Bijura |
| spellingShingle |
Angelina Bijura Singularly perturbed Volterra integral equations with weakly singular kernels International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Angelina Bijura |
| author_sort |
Angelina Bijura |
| title |
Singularly perturbed Volterra integral equations with
weakly singular kernels |
| title_short |
Singularly perturbed Volterra integral equations with
weakly singular kernels |
| title_full |
Singularly perturbed Volterra integral equations with
weakly singular kernels |
| title_fullStr |
Singularly perturbed Volterra integral equations with
weakly singular kernels |
| title_full_unstemmed |
Singularly perturbed Volterra integral equations with
weakly singular kernels |
| title_sort |
singularly perturbed volterra integral equations with
weakly singular kernels |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2002-01-01 |
| description |
We consider finding asymptotic solutions of the singularly
perturbed linear Volterra integral equations with weakly singular
kernels. An interesting aspect of these problems is that the
discontinuity of the kernel causes layer solutions to decay
algebraically rather than exponentially within the initial
(boundary) layer. To analyse this phenomenon, the paper
demonstrates the similarity that these solutions have to a special
function called the Mittag-Leffler function. |
| url |
http://dx.doi.org/10.1155/S016117120201325X |
| work_keys_str_mv |
AT angelinabijura singularlyperturbedvolterraintegralequationswithweaklysingularkernels |
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1725655917399113728 |