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Hopf Bifurcation for Implicit Neutral Functional Differential Equations

Published online by Cambridge University Press:  20 November 2018

Tomasz Kaczynski  and
Huaxing Xia
Tomasz Kaczynski
Affiliation:
Département de mathématiques et d'informatique Université de Sherbrooke Sherbrooke, Québec J1K 2R1
Huaxing Xia
Affiliation:
Department of Mathematics University of Alberta Edmonton, Alberta T6G 2G1
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Abstract

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An analog of the Hopf bifurcation theorem is proved for implicit neutral functional differential equations of the form F(xt, D′(xt, α), α) = 0. The proof is based on the method of S1-degree of convex-valued mappings. Examples illustrating the theorem are provided.

Keywords

34K4034A0934C2358E09
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 3 , 01 September 1993 , pp. 286 - 295
Copyright
Copyright © Canadian Mathematical Society 1993

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