New result for a class of impulsive differential equation with integral boundary conditions

This paper investigates a class of second-order impulsive differential equations with integral boundary values. By using Krasnoselskii’s fixed point theorem, the existence of positive solutions for the system is obtained. The results generalize the results in Refs. [11], [12] and [13]. And an example is given to illustrate the effective of our result.

► We consider second-order impulsive differential equations with integral boundary values. ► We study the existence of the positive solution. ► The reduce cases, such as BVP with p-laplace can be studied in the meantime. ► An example can illustrate the main result.