Open Access Research

Positive solutions of Sturm-Liouville boundary value problems for singular nonlinear second-order impulsive integro-differential equation in Banach spaces

Yan Sun

Author affiliations

School of Mathematical Sciences, Fudan University, Shanghai, 200433, P.R. China

Department of Mathematics, Shanghai Normal University, Shanghai, 200234, P.R. China

Citation and License

Boundary Value Problems 2012, 2012:86  doi:10.1186/1687-2770-2012-86

Published: 6 August 2012

Abstract

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.

Keywords:
measure of non-comparison; positive solution; boundary value problem; impulsive integro-differential equation