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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
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
- Type
- Research Article
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- Copyright
- Copyright © University College London 1978
References
Whittaker, E. T. and Watson, G. N.. 1965, Modern Analysis, 4th ed. (Cambridge University Press).Google Scholar