Communications in Mathematical Analysis
Open Access
  • Year: 2006
  • Volume: 1
  • Issue: 1

Two Periodic Solutions of Nonlinear Systems with Feedback Control

  • Author:
  • Jun Wu1,2, Zhicheng Wang1, Zhengqiu Zhang1
  • Total Page Count: 12
  • Page Number: 52 to 63

1College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, China.

2Department of Mathematics, Changsha University Of Science And Technology, Changsha, Hunan 410076, China, Currtent addres: College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, China, Email: junwmath@hotmail.com

(Communicated by Martin Bohner)

Abstract

In this paper, by the wellknown Deimling fixed point theorem in a cone, we con sider the following nonlinear functional differential system with feedback control where λ is a positive parameter. We obtain the results on the existence and multi plicity of positive periodic solutions.

Keywords

Positive periodic solutions, Functional differential system, Fixed point theorem, Fixed point index, Feedback control