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A singular perturbation problem with a turning point

Published online by Cambridge University Press:  17 April 2009

A.M. Watts
A.M. Watts
Affiliation:
Department of Mathematics, University of Queensland, St Lucia, Queensland.
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Abstract

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We consider the equation

εy″ + p(x)y′ + q(x)y = 0, where ε is a small positive parameter and p vanishes in the interval. Two asymptotic forms of solution are obtained and a rigorous estimate is made of the difference between the exact solutions and the asymptotic forms.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 5 , Issue 1 , August 1971 , pp. 61 - 73
Copyright
Copyright © Australian Mathematical Society 1971

References

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