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Spectral properties of a two parameter nonlinear Sturm-Liouville problem

Published online by Cambridge University Press:  14 November 2011

Tetsutaro Shibata
Tetsutaro Shibata
Affiliation:
Department of Mathematics, Aichi Prefectural University, 3-28 Takada-chô, Mizuho-ku Nagoya, 467 Japan
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Synopsis

We consider the nonlinear Sturm–Liouville problem with two parameters on the general level set

We establish asymptotic formulae of the n-th variational eigenvalue λ = λn(μ, α) as α→∞ and α↓(nπ)2.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 123 , Issue 6 , 1993 , pp. 1041 - 1058
Copyright
Copyright © Royal Society of Edinburgh 1993

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