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Generalised Liouville-Green asymptotic approximations for second-order differential equations

Published online by Cambridge University Press:  14 November 2011

J. S. Cassell
J. S. Cassell
Affiliation:
Department of Computing, Management Science, Mathematics and Statistics, City of London Polytechnic, 100 Minories, Tower Hill, London EC3N 1JY, U.K.
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Synopsis

The equation {r(x)y'}' = q(x)y is considered with the coefficients q and rtaking complex values. Conditions are obtained for there to be solutions with the asymptotic form , . These involve the coefficients and their derivatives up to some order N.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 103 , Issue 3-4 , 1986 , pp. 229 - 239
Copyright
Copyright © Royal Society of Edinburgh 1986

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References

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