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Asymptotic methods for fourth-order differential equations

Published online by Cambridge University Press:  14 November 2011

C. G. M. Grudniewicz
C. G. M. Grudniewicz
Affiliation:
Chelsea College, University of London
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Synopsis

A new method is developed for obtaining the asymptotic form of solutions of the fourth-order differential equation

where m, n are integers and 1 ≦ m, n ≦ 2. The method gives new, shorter proofs of the well-known results of Walker in deficiency index theory and covers the cases not considered by Walker.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 87 , Issue 1-2 , 1980 , pp. 53 - 63
Copyright
Copyright © Royal Society of Edinburgh 1980

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