%0 Journal Article
%T Multiple positive solutions for a third-order three-point BVP with sign-changing Green's function
%A Jian-Ping Sun
%A Juan Zhao
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X This article concerns the third-order three-point boundary-value problem $$displaylines{ u'''(t)=f(t,u(t)),quad tin [0,1], cr u'(0)=u(1)=u''(eta)=0. }$$ Although the corresponding Green's function is sign-changing, we still obtain the existence of at least 2m-1 positive solutions for arbitrary positive integer m under suitable conditions on f.
%K Third-order three-point boundary-value problem
%K sign-changing Green's function
%K positive solution
%U http://ejde.math.txstate.edu/Volumes/2012/118/abstr.html