Initial-layer theory and model equations of Volterra type |
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Authors: | Bijura Angelina M. |
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Affiliation: | The New York UniversityLondon, Bedford Square, London WC1B 3RA, UK |
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Abstract: | ** Email: amb16{at}nyu.edu It is demonstrated here that there exist initial layers to singularlyperturbed Volterra equations whose thicknesses are not of theorder of magnitude of O(), 0. It is also shown that the initial-layertheory is extremely useful because it allows one to constructthe approximate solution to an equation, which is almost identicalto the exact solution. |
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Keywords: | asymptotic expansions Volterra integral equations fractional derivatives and integrals. |
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