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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A Hopf global bifurcation theorem for retarded functional differential equations


Author: Roger D. Nussbaum
Journal: Trans. Amer. Math. Soc. 238 (1978), 139-164
MSC: Primary 34K15; Secondary 47H15, 58F14
MathSciNet review: 482913
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Abstract: We prove a result concerning the global nature of the set of periodic solutions of certain retarded functional differential equations. Our main theorem is an analogue, for retarded F.D.E.'s, of a result by J. Alexander and J. Yorke for ordinary differential equations.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1978-0482913-0
PII: S 0002-9947(1978)0482913-0
Article copyright: © Copyright 1978 American Mathematical Society