Estimates of Periods and Global Continua of Periodic Solutions for State-Dependent Delay Equations

2012 ◽  
Vol 44 (4) ◽  
pp. 2401-2427 ◽  
Author(s):  
Qingwen Hu ◽  
Jianhong Wu ◽  
Xingfu Zou
Keyword(s):  
Periodic Solutions ◽  
Delay Equations ◽  
State Dependent ◽  
State Dependent Delay

Periodic Solutions for a Class of Functional Differential Equations with State-Dependent Delay Close to Zero

2003 ◽  
Vol 13 (06) ◽  
pp. 807-841 ◽  
Author(s):  
R. Ouifki ◽  
M. L. Hbid
Keyword(s):  
Differential Equation ◽  
Hopf Bifurcation ◽  
Periodic Solutions ◽  
Functional Differential Equations ◽  
Delay Equation ◽  
Constant Delay ◽  
State Dependent ◽  
State Dependent Delay ◽  
Existence Of Periodic Solutions ◽  
Functional Differential

The purpose of the paper is to prove the existence of periodic solutions for a functional differential equation with state-dependent delay, of the type [Formula: see text] Transforming this equation into a perturbed constant delay equation and using the Hopf bifurcation result and the Poincaré procedure for this last equation, we prove the existence of a branch of periodic solutions for the state-dependent delay equation, bifurcating from r ≡ 0.

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