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A nonlinear singular perturbation problem on a semi-infinite interval

Published online by Cambridge University Press:  17 February 2009

J. J. Shepherd
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, W.A. 6009, Australia
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Abstract

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We consider a nonlinear singular perturbation problem on a semi-infinite interval, that is a generalization of the well-known Lagerstrom model equation intended to model low Reynolds number flow. By applying a Green's function method and the contraction mapping principle, we are able to obtain existence, uniqueness and asymptoticity results for this problem.

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Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1977