%0 Journal Article %T Multiple positive solutions for second-order three-point boundary-value problems with sign changing nonlinearities %A Jian Liu %A Zengqin Zhao %J Electronic Journal of Differential Equations %D 2012 %I Texas State University %X In this article, we study the second-order three-point boundary-value problem $$displaylines{ u''(t)+a(t)u'(t)+f(t,u)=0,quad 0 leq t leq 1, cr u'(0)=0,quad u(1)=alpha u(eta), }$$ where $0 %K Multiple positive solutions %K sign changing %K fixed-point theorem %U http://ejde.math.txstate.edu/Volumes/2012/152/abstr.html