Existence of positive solutions to impulsive nonlinear differential systems of second orderwith two point boundary conditions

Abstract. In this paper the authors consider the existence of positive solutions to a two point boundary value problem for nonlinear second-order impulsive systems. They use a vector version of Krasnosel’skii’s fixed point theorem in cones in their proofs. Examples are provided to illustrate the results. Mathematics Subject Classification (2010): 47H10, 47H07, 34B18, 34C25. Keywords: Two point boundary values problems, impulsive problems, Krasnosel’skii’s fixed point theorem, positive solutions.