# Periodic solutions for a class of functional differential system

## Weibing Wang and Baishun Lai

Address:

Department of Mathematics, Hunan University of Science and Technology Xiangtan, Hunan 411201, P.R. China

School of Mathematics, Henan University, Kaifeng, Henan 475004, P.R. China

E-mail: wwbhunan@yahoo.cn

Abstract: In this paper, we study the existence of periodic solutions to a class of functional differential system. By using Schauder$^,$s fixed point theorem, we show that the system has aperiodic solution under given conditions. Finally, four examples are given to demonstrate the validity of our main results.

AMSclassification: primary 34K13.

Keywords: functional differential equation, periodic solution, fixed point theorem.

DOI: 10.5817/AM2012-2-139