Triple positive solutions for boundary value problems on infinite intervals

✍ Scribed by Hairong Lian; Huihui Pang; Weigao Ge

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 230 KB
• Volume: 67
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2006.09.016

✦ Synopsis

This paper deals with the existence of triple positive solutions for Sturm-Liouville boundary value problems of second-order nonlinear differential equation on a half line. By using a fixed point theorem in a cone due to Avery-Peterson, we show the existence of at least three positive solutions with suitable growth conditions imposed on the nonlinear term.