Existence of solutions of three-point boundary value problems in Banach spaces

✍ Scribed by Haibo Chen; Peiluan Li

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 523 KB
• Volume: 49
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/j.mcm.2008.05.003

✦ Synopsis

In this paper, we study the second-order three-point boundary value problem

in a Banach space E, where θ is the zero element of E, 0 < α < 1, 0 < η < 1. By using the Sadovskii fixed point theorem, we get the existence of at least one (positive) solution. As an application, we give an example to demonstrate our results.