%0 Journal Article
%T Existence of Positive Solutions for Semipositone Higher-Order BVPS on Time Scales
%A Yuguo Lin
%A Minghe Pei
%J Advances in Difference Equations
%D 2010
%I Springer
%R 10.1155/2010/235296
%X We offer conditions on semipositone function f(t,u0,u1,＃,un-2) such that the boundary value problem, u忖n(t)+f(t,u(考n-1(t)),u忖(考n-2(t)),＃,u忖n-2(考(t)))=0, t﹋(0,1)﹎  , n≡2, u忖i(0)=0, i=0,1,＃,n-3, 汐u忖n-2(0)-汕u忖n-1(0)=0, 污u忖n-2(考(1))+汛u忖n-1(考(1))=0, has at least one positive solution, where    is a time scale and f(t,u0,u1,＃,un-2)﹋C([0,1]℅ [0,﹢)n-1, (-﹢,﹢)) is continuous with f(t,u0,u1,＃,un-2)≡-M for some positive constant M.
%U http://dx.doi.org/10.1155/2010/235296