Boundary Value Problems 
Volume 2007 (2007), Article ID 64012, 16 pages
doi:10.1155/2007/64012
Research Article

The Shooting Method and Nonhomogeneous Multipoint BVPs of Second-Order ODE

Man Kam Kwong1,2 and James S. W. Wong3,4,5

 1Lucent Technologies Inc., Lisle 60532, IL, USA
2Department of Mathematics, Statistics, Computer Science, University of Illinois at Chicago, Chicago 60607-7045, IL, USA
3Department of Mathematics, The University of Hong Kong, Pokfulam, Hong Kong
4Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong
5Chinney Investments Ltd., Hong Kong
Received 25 May 2007; Revised 20 August 2007; Accepted 23 August 2007

Recommended by Kanishka Perera

Abstract

In a recent paper, Sun et al. (2007) studied the existence of positive solutions of nonhomogeneous multipoint boundary value problems for a second-order differential equation. It is the purpose of this paper to show that the shooting method approach proposed in the recent paper by the first author can be extended to treat this more general problem.