HOPF-BIFURCATION FOR IMPLICIT NEUTRAL FUNCTIONAL-DIFFERENTIAL EQUATIONS

被引：2

作者：

KACZYNSKI, T

XIA, HX

机构：

[1] UNIV SHERBROOKE, DEPT MATH & INFORMAT, SHERBROOKE J1K 2R1, QUEBEC, CANADA

[2] UNIV ALBERTA, DEPT MATH, EDMONTON T6G 2G1, ALBERTA, CANADA

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1993年 / 36卷 / 03期

关键词：

D O I：

10.4153/CMB-1993-041-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An analog of the Hopf bifurcation theorem is proved for implicit neutral functional differential equations of the form F(x(t), D'(x(t), alpha), alpha) = 0. The proof is based on the method of S1-degree of convex-valued mappings. Examples illustrating the theorem are provided.

引用

页码：286 / 295

页数：10

共 30 条

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