Three positive solutions of singular nonlocal boundary value problems for systems of nonlinear second-order ordinary differential equations

摘要

In this paper, we consider the existence of at least three positive solutions of singular nonlocal boundary value problems for systems of nonlinear second-order ordinary differential equations. The associated Green's function for the boundary value problems is first given. The proofs of our main results are based upon the Leggett-Williams fixed point theorem. Finally, we give an example to demonstrate our result. (C) 2007 Elsevier Ltd. All rights reserved.