Resumen de On the Convergence of Solutions to Dynamic Equations on Time Scales

Nguyen Thu Ha, Nguyen Huu Du, Le Cong Loi, Do Duc Thuan

• In this paper, we study the convergence of solutions to dynamic equations x = f (t, x) on time scales{Tn}∞ n=1 when this sequence converges to the time scaleT.

  The convergent rate of solutions is estimated when f satisfies the Lipschitz condition in both variables. By a general view, we derive a new approach to the approximation of dynamic equations on time scales, especially the Euler method for differential equations. Some examples are given to illustrate our results.