Electronic Journal of Differential Equations, Vol. 2004(2004), No. 17, pp. 1-8. Title: Classification and existence of positive solutions to nonlinear dynamic equations on time scales Authors: Can-Yun Huang (Lanzhou Univ. of Technology, China) Wan-Tong Li (Lanzhou Univ., Gansu, China) Abstract: A classification scheme is given for the eventually positive solutions to a class of second order nonlinear dynamic equations, in terms of their asymptotic magnitudes. Also we provide necessary and/or sufficient conditions for the existence of positive solutions. Submitted December 16, 2003. Published February 6, 2004. Math Subject Classifications: 34B15, 39A10. Key Words: Time scale; nonlinear dynamic equation; positive solution.