Electronic Journal of Differential Equations, Vol. 2010(2010), No. 34, pp. 1-10. Title: Positive periodic solutions for nonautonomous impulsive neutral functional differential systems with time-varying delays on time scales Authors: Jinchun Dai (Yunnan Univ., China) Yongkun Li (Yunnan Univ., China) Tianwei Zhang (Yunnan Univ., China) Abstract: Using a fixed point theorem of strict-set-contraction, we prove the existence of positive periodic solutions for a class of nonautonomous impulsive neutral functional differential system with time-varying delays on time scales. Submitted December 15, 2009. Published March 09, 2010. Math Subject Classifications: 34K13, 34K40, 34K45. Key Words: Periodic solution; neutral functional differential systems; time scale; strict-set-contraction