Hopf Bifurcation for Implicit Neutral Functional Differential Equations

Kaczynski, Tomasz ; Xia, Huaxing

Canadian mathematical bulletin, Tome 36 (1993) no. 3, pp. 286-295

Résumé

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.

Détail

DOI : 10.4153/CMB-1993-041-x

Mots-clés : 34K40, 34A09, 34C23, 58E09

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