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Bifurcation from Eigenvalues in Non-Linear Multiparameter Sturm-Liouville Problems

Published online by Cambridge University Press:  18 May 2009

Patrick J. Browne  and
B. D. Sleeman
Patrick J. Browne
Affiliation:
Department of Mathematics, University of Calgary, Alberta T2N 1N4, Canada
B. D. Sleeman
Affiliation:
Department of Mathematics, University of Dundee, Dundee DD1 4HN, Scotland
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This paper continues our study of non-linear multiparameter eigenvalue problems. In recent work [3], [4], [5] we have discussed bifurcation from eigenvalues in both abstract and concrete multiparameter problems. In this note we present further simple conditions which will ensure bifurcation from eigenvalues of a multiparameter Sturm-Liouville problem. We consider the regular case and the asymptotic case of bifurcation from infinity.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 21 , Issue 1 , January 1980 , pp. 85 - 90
Copyright
Copyright © Glasgow Mathematical Journal Trust 1980

References

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