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《Acta Analysis Functionalis Applicata》 2006-01
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Existence and Multiplicity of Positive Solutions for Singular Boundary Value Problems of Fourth-order Differential Equations

ZHOU You-ming Department of Basic Science,Jiangsu Teachers University of Technology,Changzhou 213015,China  
The existence of positive solutions of the fourth-order boundary value problem d~4udt~4=g(t)f(u(t)),0t1, u(0)=u(1)=0,u″(0)=u″(1)=0is discussed.The author obtains the existence and multiplicity results of positive solutions by employing the theory of fixed point index.The result improves and extends many recent results. fourth-order boundary value problem;singularity;positive solution
【Fund】: 江苏省“青蓝工程”专项基金资助;; 江苏省教育厅自然科学基金指导性计划项目(02KJD460011)
【CateGory Index】: O241.8
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【References】
Chinese Journal Full-text Database 1 Hits
1 KONG De-bin①,DING Ming-xia②,LIU Li-shan①(① School of Mathematical Sciences,Qufu Normal University,273165,Qufu;②Experimental Middle School,276826,Rizhao,Shandong,PRC);Existence of Triple Solutions for a Class of Fourth Order Singular Boundary Value Problems[J];Journal of Qufu Normal University(Natural Science);2008-02
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 ZHANG Ming-chuan ①, KONG Xian-fu ②, SHAO Han-yong ③ (①Deparment of Mathematics; ②Department of Computer,Qufu Normal University,273165,Qufu;③Rizhao Branch, Qufu Normal University, 276826, Rizhao, Shandong, PRC);POSITIVE SOLUTIONS FOR A CLASS OF FOURTH ORDER SUPERLINEAR SINGULAR BOUNDARY VALUE PROBLEMS[J];Journal of Qufu Normal University(Natural Science);2002-01
2 QIAN Ai_xia ①,\ ZHONG An_na ② (①Department of Mathematics, Qufu Normal Univercity, 273165, Qufu,Shangdong;②Television College,266300, Jiaozhou, Shangdong,PRC);POSITIVE SOLUTION OF SINGULAR SUPERLINEAR FORTH ORDER BOUNDARY VALUE PROBLEM[J];Journal of Qufu Normal University(Natural Science);2002-03
3 JIANG Ji-qiang,LIU Li-shan(College of Mathematics,Qufu Normal University,273165,Qufu,Shandong,PRC;The Existence of Positive Solutions for a Class of Boundary Value Problem[J];Journal of Qufu Normal University(Natural Science);2007-02
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6 LI Mai-long(Department of Mathemctics, Hunan Institute of Science and Technology, Yueyang 414000, Hunan);Positive Solutions of a Class of Three-point Bundary Value Problems for the Fourth-order Differential Equation[J];Journal of Sichuan Normal University(Natural Science);2005-05
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