The existence of countably many positive solutions for some nonlinear singular three-point impulsive boundary value problems

In this paper, by using fixed-point index theory and a new fixed-point theorem in cones, some sufficient conditions for the existence of countably many positive solutions for some nonlinear singular impulsive boundary value problems are established. In the case of the pp-Laplace operator, our results for some p>0p>0 generalize previous known results.