The method of upper and lower solutions to impulsive differential equation with Sturm-Liouville integral boundary conditions (Q2121649)

In this paper, a second-order impulsive differential equation with Sturm-Liouville integral boundary conditions is discussed. By applying the method of upper and lower solutions and Leray-Schäuder degree theory, some sufficient conditions that guarantee the existence and multiplicity are obtained. It is worth mentioning that the nonlinear term in the paper is dependent on the first-order derivative of the unknown functions.