Nontrivial Solutions for a First-order Impulsive Integral Boundary Value Problem on Time Scales

In this paper we use topological degree to study the solvability for a first-order impulsive integral boundary value problem on time scales. We first construct a linear operator, and then obtain the existence of nontrivial solutions under some conditions concerning the spectral radius of this linear operator. Our method improves and generalizes some results in the literature.