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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A Hopf global bifurcation theorem for retarded functional differential equations
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by Roger D. Nussbaum PDF
Trans. Amer. Math. Soc. 238 (1978), 139-164 Request permission

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.
References
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 238 (1978), 139-164
  • MSC: Primary 34K15; Secondary 47H15, 58F14
  • DOI: https://doi.org/10.1090/S0002-9947-1978-0482913-0
  • MathSciNet review: 482913