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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |