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The limit-4 case of fourth-order self-adjoint differential equations

Published online by Cambridge University Press:  14 February 2012

M. S. P. Eastham
M. S. P. Eastham
Affiliation:
Chelsea College, University of London
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Synopsis

A new method is developed for identifying real-valued coefficients r(x), p(x), and q(x) for which all solutions of the fourth-order differential equation

are L2(0, ∞). The results are compared with those derived from the asymptotic theory of Devinatz, Walker, Kogan and Rofe-Beketov.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 79 , Issue 1-2 , 1977 , pp. 51 - 59
Copyright
Copyright © Royal Society of Edinburgh 1977

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References

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