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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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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHANG Chun-lin(Dept.of Math.& Comp.Sci.,Anhui Normal University,Wuhu 241000,China);The boundary value problem for a kind of retarded functional differential equation[J];Journal of Anhui University of Technology and Science(Natural Science);2006-01
2 YANG Jing-bao1,WEI Zhong-li2(1.Department of Science,Bozhou Teachers College,Mengcheng 233500;2.School of Sciences,Shandong Jianzhu University,Jinan 250101,China);Solvability of One-dimensional p-Laplacian Operator Equation with First Derivative[J];Journal of Anqing Teachers College(Natural Science Edition);2008-01
3 SUN Tao~1,LIU Chao~1,SHA Qiu-fu~2(1.Mathematics Department,Northeastern University,Shenyang 110004,China;2.School of Science,University of Science and Technology Liaoning,Anshan 114051,China);Multiple positive solutions for some neutral integral equations arising in infectious disease[J];Journal of Anshan University of Science and Technology;2006-06
4 Xu Bin 1,2)( 1)Department of Mathematics, Beijng Normal University, 100875, Beijing, China;2)Department of Mathematics, Xuzhou Normal University, 221116, Xuzhou, Jiangsu, China);THE EQUIVALENCE BETWEEN WEAKLY REGULAR CONE AND REGULAR CONE[J];Journal of Beijing Normal University(Natural Science);2004-06
5 Yang Xitao~(1,2)) Yuan Rong~(1))(1)School of Mathematical Sciences,Beijing Normal University,100875,Beijing,China;2)Department of Mathematics,Hunan University of Science and Technology,411201, Xiangtan,Hunan,China);ON THE MODULE AND SPECTRAL OF ALMOST PERIODIC SEQUENCE IN BANACH SPACE[J];Journal of Beijing Normal University(Natural Science);2005-05
6 Guo Fei (Qufu Normal Univercity,Qufu 273165,China);The Unique Solution of Nonlinear Integro-differential Equation of Mixed Type for Initial Value Problems in Banach Space[J];Journal of Binzhou Teachers College;2001-04
7 GAO Li Binzhou Teachers College,Binzhou 256600,China;Existence of Solutions for the Nonlinear First Order Integro-differential Equations with Impulsive[J];Journal of Binzhou Teachers College;2004-02
8 WANG Ming-ming1,2(1.Department of Mathematics,Qufu Normal University,Qufu 273165,China;2.Department of Mathematics and Information Science,Binzhou University,Binzhou 256603,China);On the Existence of Positive Solutions of Two-Point Boundary Value Problems for Certain p-Laplacian Difference Equations[J];Journal of Binzhou University;2008-06
9 TIAN Jie1,2(1.Department of Mathematics,Qufu Normal University,Qufu 273165,China;2.Department of Mathematics and Information Science,Binzhou University,Binzhou 256603,China);Notes on the Existence of Positive Solutions of Certain p-Laplacian Difference Equations[J];Journal of Binzhou University;2008-06
10 LI Zhi-long (Department of Mathematics, Shandong University, Jinan 250100,China);The Existence of Global Solutions for Nonlinear Population Dynamics with Random Migration Perturbations[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2002-03
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