Multiple positive solutions of a singular gelfand type problem for second-order impulsive differential systems

We study the existence of multiple positive solutions of a singular boundary valueproblem for second-order impulsive differential systems with real multiparameters. The existence phenomenon of positive solutions depends on the parameters and we give a full analysis about multiplicity, existence, and nonexistence with respect to the parameters. Proofs are mainly employed by the upper and lower solutions method for systems and the fixed-point index argument.