Uniqueness and existence of positive solutions for singular differential systems with coupled integral boundary value problems

Abstract

This paper provides sufficient conditions for the existence and uniqueness of positive solutions to a singular differential system with integral boundary value. The emphasis here is that the boundary conditions are coupled and this is where the main novelty of this work lies. By mixed monotone method, the existence and uniqueness results of the problem are established. An example is given to demonstrate the main results. © 2013 Yujun Cui et al.