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Non-linear Sturm-Liouville problems with no secondary bifurcation†
Published online by Cambridge University Press: 14 November 2011
Synopsis
The paper is concerned with giving sufficient conditions that in the non-linear boundary-value problem
there should be no secondary bifurcation, i.e. that, given a branch of solutions (u, λ) bifurcating from the trivial solution, there should be no further bifurcation on that branch. Sufficient conditions on G are given which include, for example, Kolodner's problem of the motion of a heavy rotating string.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 80 , Issue 3-4 , 1978 , pp. 347 - 356
- Copyright
- Copyright © Royal Society of Edinburgh 1978
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