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Exact multiplicity results for boundary value problems with nonlinearities generalising cubic

Published online by Cambridge University Press:  14 November 2011

Philip Korman ,
Yi Li  and
Tiancheng Ouyang
Philip Korman
Affiliation:
Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio 45221-0025, U.S.A.
Yi Li
Affiliation:
Department of Mathematics, University of Rochester, Rochester, NY 14627, U.S.A.
Tiancheng Ouyang
Affiliation:
Department of Mathematics, Brigham Young University, Provo, Utah 84602, U.S.A.
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Extract

Using techniques of bifurcation theory we present two exact multiplicity results for boundary value problems of the type

The first result concerns the case when the nonlinearity is independent of x and behaves like a cubic in u. The second one deals with a class of nonlinearities with explicit x dependence.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 126 , Issue 3 , 1996 , pp. 599 - 616
Copyright
Copyright © Royal Society of Edinburgh 1996

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