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Periodic solutions of polynomial non-autonomous differential equations

Published online by Cambridge University Press:  14 November 2011

J. Devlin
J. Devlin
Affiliation:
Department of Mathematics, The University College of Wales, Aberystwyth, Dyfed, SY23 3BZ, U.K.
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Extract

Let ℐN denote the set of (N + 1)-tuples of C1 ω-periodic functions; the point P = (pN,…, p1p0) ϵ ℐN is identified with the differential equation

We examine the way in which the total number of ω-periodic solutions can vary as P traverses a path in ℐN.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 123 , Issue 5 , 1993 , pp. 783 - 801
Copyright
Copyright © Royal Society of Edinburgh 1993

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