We consider the second-order differential equationu＂（t） ＋ q（t）f（t,u（t）,u＇（t）） =0, 0 〈 t 〈 1,subject to three-point boundry conditionu（0）=0, u（1） = aou（ζ0）,or to m-point boundary condition u＇（0...We consider the second-order differential equationu＂（t） ＋ q（t）f（t,u（t）,u＇（t）） =0, 0 〈 t 〈 1,subject to three-point boundry conditionu（0）=0, u（1） = aou（ζ0）,or to m-point boundary condition u＇（0）=m-2∑i=1biu]（ζi）,u（1）=m-2∑i=1aiu（ζi）.We show the existence of at least three positive solutions of the above multi-point boundary-value problem by applying a new fixed-point theorem introduced by Avery and Peterson.展开更多
基金Supported by the "Qing-Lan" Project of Jiangsu Education Committeethe Natural Science Foundation of Jiangsu Education Committee (Grant No. 02KJD460011)
文摘We consider the second-order differential equationu＂（t） ＋ q（t）f（t,u（t）,u＇（t）） =0, 0 〈 t 〈 1,subject to three-point boundry conditionu（0）=0, u（1） = aou（ζ0）,or to m-point boundary condition u＇（0）=m-2∑i=1biu]（ζi）,u（1）=m-2∑i=1aiu（ζi）.We show the existence of at least three positive solutions of the above multi-point boundary-value problem by applying a new fixed-point theorem introduced by Avery and Peterson.
