In this paper, the cone theory and MSnch fixed point theorem combined with the monotone iterative technique are used to investigate the positive solutions for a class of systems of nonlinear singular differential equations with multi-point boundary value conditions on the half line in a Banach space. The conditions for the existence of positive solutions are formulated. In addition, an explicit iterative approximation of the solution is also derived.
Xing Qiu ZHANG 1,2 1.School of Mathematics and Statistics,Huazhong University of Science and Technology,Hubei 430074,P.R.China