PERIODIC SOLUTIONS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH PERIODIC DELAY CLOSE TO ZERO

被引：0

作者：

Hbid, My Lhassan ^{[1
]}

Qesmi, Redouane ^{[1
]}

机构：

[1] Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, Marrakech, Morocco

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年

关键词：

Differential equation; periodic delay; bifurcation; h-asymptotic stability; periodic solution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the existence of periodic solutions to the delay differential equation x(overdot) (t) = f(x(t - mu(t)), is an element of). The analysis is based on a perturbation method previously used for retarded differential equations with constant delay. By transforming the studied equation into a perturbed non-autonomous ordinary equation and using a bifurcation result and the Poincare procedure for this last equation, we prove the existence of a branch of periodic solutions, for the periodic delay equation, bifurcating from mu = 0.

引用

页数：12

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