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Non-existence of large eigenvalues of a third order differential equation

Part of:Boundary value problems

Published online by Cambridge University Press:  26 February 2010

A. M. J. Davis
A. M. J. Davis
Affiliation:
Department of Mathematics, University College London.
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Summary

The study of plasma instabilities has led to the question whether a certain third order linear differential equation involving a parameter p has solutions which vanish as x → ± ∞. Assuming existence, it is first easily shown that Rep must be positive and then, after a Fourier transform has changed the equation to one of second order, standard comparison equation techniques are used to obtain a contradiction, valid for large enough p.

MSC classification

Secondary:34B10: Nonlocal and multipoint boundary value problems

Information

Type
Research Article
Information
Mathematika , Volume 25 , Issue 1 , June 1978, pp. 151 - 159
Copyright
Copyright © University College London 1978

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