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A global branch of solutions to a semilinear equation on an unbounded interval

Published online by Cambridge University Press:  14 November 2011

C. A. Stuart
C. A. Stuart
Affiliation:
Département de Mathématiques, EPFL, CH-1015 Lausanne, Switzerland
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Synopsis

For a semilinear second order differential equation on (0, ∞), conditions are given for the bifurcation and asymptotic bifurcation in Lp of solutions to the Neumann problem. Bifurcation occurs at the lowest point of the spectrum of the linearised problem. Under stronger hypotheses, there is a global branch of solutions. These results imply similar conclusions for the same equation on R with appropriate symmetry.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 101 , Issue 3-4 , 1985 , pp. 273 - 282
Copyright
Copyright © Royal Society of Edinburgh 1985

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