Existence and monotone iteration of positive solutions for a three-point boundary value problem

✍ Scribed by Huihui Pang; Meiqiang Feng; Weigao Ge

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 197 KB
• Volume: 21
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2007.07.019

✦ Synopsis

In this work, we obtain the existence of quasi-symmetric monotone positive solutions and establish a corresponding iterative scheme for the following three-point boundary value problem:

The main tool is the monotone iterative technique. The interesting point is that the nonlinear term involves the first-order derivative explicitly.