1College of Electronic and Information Engineering, Hebei University, Baoding, 071002, China. E-mail: pgwang@mail.hbu.edu.cn
2College of Mathematics and Computer Science, Hebei University, Baoding, 071002, China.
AMS subject classification: 34D20, 34A37.
In this paper, first order impulsive difference equations with linear boundary conditions are discussed. By using a new comparison theorem and the method of upper and lower solutions coupled with the monotone iterative technique, criteria on the existence of minimal and maximal solutions are obtained.
Impulsive difference equations, linear boundary conditions, upper and lower solutions, monotone iterative technique
