Boundary Value Problems
Volume 2009 (2009), Article ID 834158, 12 pages
Research Article

Existence of Positive Solutions for Multipoint Boundary Value Problem on the Half-Line with Impulses

1Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China
2Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain

Received 7 March 2009; Revised 18 April 2009; Accepted 25 April 2009

Academic Editor: Donal O'Regan

Copyright © 2009 Jianli Li and Juan J. Nieto. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider a multi-point boundary value problem on the half-line with impulses. By using a fixed-point theorem due to Avery and Peterson, the existence of at least three positive solutions is obtained.