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Time-periodic solutions to semilinear parabolic equations

Published online by Cambridge University Press:  14 November 2011

Peter Grindrod  and
Bryan P. Rynne
Peter Grindrod
Affiliation:
Department of Mathematical Sciences, The University, Dundee DD14HN, Scotland
Bryan P. Rynne
Affiliation:
Department of Mathematical Sciences, The University, Dundee DD14HN, Scotland
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Synopsis

We consider a class of non-linear evolution equations subject to a periodic forcing term. Using bifurcation theory we obtain results on the existence and number of periodic solutions. The theory applies to semi-linear diffusion equations defined on bounded or unbounded domains.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 104 , Issue 3-4 , 1986 , pp. 329 - 342
Copyright
Copyright © Royal Society of Edinburgh 1986

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