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《Journal of Qufu Normal University(Natural Science)》 2010-04
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Multiple Positive Solutions for Third-order Three-point Impulsive Boundary Value Problems

WANG Ying①②,HAO Zhao-cai①(① School of Mathematical Sciences,Qufu Normal University,273165,Qufu Shandong;② College of Mathematical and Computer sciences,Shongrao Normal University,334001,Shangrao,Jiangxi,PRC)  
In this paper,we investigate a class of boundary problems for third-order three-point nonlinear impulsive differential equations by using cone theory and Leggett-Williams fixed point theory.First,we establish the existence of at least three positive solutions.And then,we prove the existence of at least 2n-1 positive solutions for arbitrary integer n.Finally,an example is given to demonstrate main the results of this paper.Main results of this paper extend and improve some results in papers Guo L J(2007) and Liu Y(2009).
【Fund】: 国家自然科学基金(10771117);; 教育部博士学科点专项科研基金(20093705120002);; 中国博士后科学基金(20090451290);; 山东省自然科学基金(Y2008A24);; 山东省博士后创新项目专项资金(200801001);; 曲阜师范大学博士科研启动(Bsqd07026)项目
【CateGory Index】: O175.8
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