Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 154, pp. 1-9.

Title: Existence of positive solutions  for nonlinear systems of 
       second-order differential equations with integral boundary
       conditions on an infinite interval in  Banach spaces

Authors: Xu Chen       (Liaocheng Univ., Shandong, China)
         Xingqiu Zhang (Liaocheng Univ., Shandong, China)

Abstract: 
 The article shows the existence of positive solutions for
 systems of nonlinear singular differential equations with integral
 boundary conditions on an infinite interval in Banach spaces.
 Our main tool is the Monch fixed point theorem combined with
 a monotone iterative technique.  In addition, an explicit
 iterative approximation of the solution is provided.

Submitted August 22, 2011. Published November 10, 2011.
Math Subject Classifications: 34B15, 34B16, 34B40.
Key Words: Singular differential equations; integral boundary; 
           cone; ordering; positive solution; Monch  fixed point theorem.