Geodesic
Hopf Bifurcation for Implicit Neutral Functional Differential Equations
Canadian mathematical bulletin, Tome 36 (1993) no. 3, pp. 286-295

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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.
DOI : 10.4153/CMB-1993-041-x
Mots-clés : 34K40, 34A09, 34C23, 58E09 
Kaczynski, Tomasz; Xia, Huaxing. Hopf Bifurcation for Implicit Neutral Functional Differential Equations. Canadian mathematical bulletin, Tome 36 (1993) no. 3, pp. 286-295. doi: 10.4153/CMB-1993-041-x
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     author = {Kaczynski, Tomasz and Xia, Huaxing},
     title = {Hopf {Bifurcation} for {Implicit} {Neutral} {Functional} {Differential} {Equations}},
     journal = {Canadian mathematical bulletin},
     pages = {286--295},
     year = {1993},
     volume = {36},
     number = {3},
     doi = {10.4153/CMB-1993-041-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-041-x/}
}
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