Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 44, pp. 1-11.

Title: Existence of multiple solutions for  three-point boundary-value
       problems on infinite intervals in Banach spaces

Authors: Yulin Zhao  (Hunan Univ. of Tech., Zhuzhou, China)
         Haibo Chen  (Central South Univ., Changsha, China)
         Chengjie Xu (Hunan Univ. of Tech., Zhuzhou, China)

Abstract:
 We prove the existence of at least three solutions for a
 second-order three-point boundary-value problem on
 infinite intervals in Banach spaces. We use the
 unbounded upper and lower solution method, and the
 topological degree theory of strict-set-contractions.
 To illustrate our results, we present an example.

Submitted August 4, 2011. Published March 20, 2012.
Math Subject Classifications: 34B15.
Key Words: Boundary value problem; lower and upper solution; 
           strict-set-contraction; Banach space.