xistence of solutions for nonlinear impulsive q k -difference equations with first-order q k -derivatives

In this paper, we study the nonlinear second-order impulsive q k -difference equations with Sturm-Liouville type, in which nonlinear team and impulsive teams are dependent on first-order q k -derivatives. We obtain the existence and uniqueness results of solutions for the problem by Banach s contraction mapping principle and Schaefer s fixed point theorems. Finally, we give two examples to demonstrate the use of the main results.