Positive solutions of [formula omitted]th-order impulsive boundary value problems with integral boundary conditions in Banach spaces

Abstract

By using the fixed point theory for strict set contraction operator, this paper investigates the existence of positive solutions for a class of n th-order impulsive boundary value problems with integral boundary conditions in Banach spaces. Moreover, we offer some interesting discussion of the associated boundary value problems. Since the technique to deal with n th-order BVP is completely different from that of previous papers, the expression of the associated integral equation is simpler than that of relevant papers, and upper and lower bounds for these positive solutions also are given, our work is new.