Sixth Mississippi State Conference on Differential Equations and Computational Simulations. Electronic Journal of Differential Equations, Conference 15 (2007), pp. 159-162. Title: Error estimates for asymptotic solutions of dynamic equations on time scales Author: Gro Hovhannisyan (Kent State Univ., Canton, OH, USA) Abstract: We establish error estimates for first-order linear systems of equations and linear second-order dynamic equations on time scales by using calculus on a time scales [1,4,5] and Birkhoff-Levinson's method of asymptotic solutions [3,6,8,9]. Published February 28, 2007. Math Subject Classifications: 39A10. Key Words: Time scale; asymptotic representation; error estimates; second order differential equation; first order system.