Periodic solutions for a class of functional differential system

Weibing Wang and Baishun Lai

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


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