Periodic Solutions for a Class of Functional Differential Equations with State-Dependent Delay Close to Zero-Reference-Cited by-同舟云学术

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

Published:2003-06 Issue:06 Volume:13 Page:807-841
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

Ouifki R.¹,Hbid M. L.¹

Affiliation:

1. Faculty of Sciences-Semlalia, Cadi Ayyad University, Department of Mathematics, P. O. Box 2390, Marrakesh, Morocco

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202503002738

Reference32 articles.

1. Some periodicity criteria for functional differential equations

2. Periodic solutions of some autonomous differential equations with variable time delay

3. Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay

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5. NUMERICAL CONTINUATION OF EQUILIBRIA OF PHYSIOLOGICALLY STRUCTURED POPULATION MODELS I: THEORY

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