Electronic Journal of Differential Equations, Vol. 2010(2010), No. 118, pp. 1-16. Title: Existence of three positive periodic solutions for differential systems with feedback controls on time scales Authors: Yongkun Li (Yunnan Univ., Kunming, China) Tianwei Zhang (Yunnan Univ., Kunming, China) Jianfeng Suo (Yunnan Univ., Kunming, China) Abstract: Using the Leggett-Williams multiple fixed point theorem, we establish criteria for the existence of three positive periodic solutions of a class of differential systems with feedback controls on time scales. Submitted March 25, 2010. Published August 20, 2010. Math Subject Classifications: 34K13. Key Words: Positive periodic solutions; feedback controls; time scales; Leggett-Williams multiple fixed point theorem.