%0 Journal Article %T Existence of multiple solutions for three-point boundary-value problems on infinite intervals in Banach spaces %A Yulin Zhao %A Haibo Chen %A Chengjie Xu %J Electronic Journal of Differential Equations %D 2012 %I Texas State University %X 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. %K Boundary value problem %K lower and upper solution %K strict-set-contraction %K Banach space %U http://ejde.math.txstate.edu/Volumes/2012/44/abstr.html