Positive solutions of Sturm-Liouville boundary value problems for singular nonlinear second-order impulsive integro-differential equation in Banach spaces
School of Mathematical Sciences, Fudan University, Shanghai, 200433, P.R. China
Department of Mathematics, Shanghai Normal University, Shanghai, 200234, P.R. China
Boundary Value Problems 2012, 2012:86 doi:10.1186/1687-2770-2012-86Published: 6 August 2012
In this work, we investigate the existence of positive solutions of Sturm-Liouville boundary value problems for singular nonlinear second-order impulsive integro differential equation in a real Banach space. Some new existence results of positive solutions are established by applying fixed-point index theory together with comparison theorem. Some discussions and an example are given to demonstrate the applications of our main results.
MSC: 34B15, 34B25, 45J05.