On the basis of the existence of unique solution of the linear impulsive initial value problem deduced by the Banach contraction fixedpoint theorem

by considering first-order impulsive equations with integral boundary conditions on time scales

two monotone and uniform convergence sequences were obtained with the method of upper and lower solutions and monotone iterative technique.The sufficient condition that guarantees the existence of coupled extremal solutions(extremal solutions) and the uniqueness of solution were obtained.The solutions to initial value problem were also researched.Conclusions of this paper expend some conclusions of the existing literature.One example was given to illustrate the applications of above results.