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An example of “secondary bifurcation” in a non-autonomous two-point boundary value problem

Published online by Cambridge University Press:  14 November 2011

Ph. Clément  and
J. vanKan
Ph. Clément
Affiliation:
University of Technology, Department of Mathematics, Julianalaan 132, 2628 BL Delft, The Netherlands
J. vanKan
Affiliation:
University of Technology, Department of Mathematics, Julianalaan 132, 2628 BL Delft, The Netherlands
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Synopsis

We consider the continuation of positive solutions of -u" = λs(x)f(u), with appropriate boundary conditions and with positive s and f. We show by an example that bifurcation may occur from the curve of these positive solutions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 91 , Issue 1-2 , 1981 , pp. 101 - 105
Copyright
Copyright © Royal Society of Edinburgh 1981

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