Electronic Journal of Differential Equations, Vol. 2003(2003), No. 105, pp. 1-7. Title: Limit cycles for a class of polynomial systems and applications Authors: Hanying Feng (Shijiazhuang Mech. Engr. College, China) Rui Xu (Shijiazhuang Mech. Engr. College, China) Qiming Liu (Shijiazhuang Mech. Engr. College, China) Pinghua Yang (Shijiazhuang Mech. Engr. College, China) Abstract: In this paper, we study the existence and uniqueness of limit cycles for a particular polynomial system. Some known results are extended and improved. Submitted July 2, 2003. Published October 20, 2003. Math Subject Classifications: 34C07, 37G10. Key Words: Polynomial system; limit cycle; existence; uniqueness.