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《Journal of Qufu Normal University(Natural Science)》 2010-02
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Nonlinear Second order m-point Singular Boundary Value Problem in Banach spaces

TAN Jing-jing,ZHANG Ke-mei(School of Mathematical Sciences,Qufu Normal University,273165,Qufu,Shandong,PRC)  
In this paper,the existence of a class of m-point boundary value problem of the nonlinear second order singular differential equations containing first order derivative in Banach spaces is obtained,using the properties of non-compactness measure and Sadovskii fixed point theorem of the generalized condensing mapping.We first give some basic notations,then we define two new Banach spaces and fixed point operator.By proving A being continuous and bounded,and proving(AV)(t)1+t and(AV)′(t) being equally continuous,the existence results of boundary value problem(5) is obtained.
【Fund】: 山东省自然科学基金资助项目(ZR2009AL014)
【CateGory Index】: O175.8
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【Citations】
Chinese Journal Full-text Database 3 Hits
1 YAN Yi-tao,MENG Fan-wei(①College of Sciences,Tianjin University of Technology,300384,Tianjin;②School of Mathemetical Sciences,Qufu Normal University,273165,Qufu,PRC);Positive Solutions for Three-point Boundary Value Problem of Second-order Differential Equations in Banach Spaces[J];Journal of Qufu Normal University(Natural Science);2009-03
2 Wang Shuli Liu Jinsheng (Department of Mathematics,Taiyuan University of Technology,Taiyuan 030024);On Positive Solutions of Second-order Three-point Boundary Value Problem[J];Acta Mathematica Scientia;2008-02
3 Yan Sheng LIU (Department of Mathematics, Shandong Normal University, Jinan 250014, P. R. China);Positive Solutions of Boundary Value Problems for Nonlinear Singular Differential Equations in Banach Space[J];Acta Mathematica Sinica;2004-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 HUANG Hao, WANG Liang-long(School of Mathematical Science,Anhui University,Hefei 230039,China);The Positive Periodic Solutions for Neutral Functional Differential Equations with Infinite Delay[J];Journal of Anhui Radio & TV University;2010-04
2 ZHOU Zong-fu,JIA Bao-rui(School of Mathematical Sciences,Anhui University,Hefei 230039,China);Existence of solution for anti-periodic boundary value problem of fractional differential equation[J];Journal of Anhui University(Natural Sciences Edition);2011-01
3 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
4 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
5 LI Hai-Yan(Department of Mathematics and Computer Science,Chizhou College,Chizhou 247000,China);Many Positive Solutions of Singular Boundary Value Problems for Second Functional Differential Equations with Impulse in Abstract Space[J];Journal of Anqing Teachers College(Natural Science Edition);2009-01
6 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
7 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
8 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
9 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
10 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
【Secondary Citations】
Chinese Journal Full-text Database 6 Hits
1 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
2 GUO Xiao-xia,ZHANG Ke-mei(School of Mathematical Sciences,Qufu Normal University,273165,Qufu,Shandong,PRC);Positive Solutions of Nonlinear Singular Fourth-order Differential Equation[J];Journal of Qufu Normal University(Natural Science);2009-01
3 CHEN Shun-qing (Department of Mathematics, Daxian Teacher's College, Dazhou 635000, Sichuan);Positive Solutions for a Class of Third-order Three-point Nonlinear Boundary Value Problems[J];Journal of Sichuan Normal University(Natural Science);2004-04
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5 Jin Sheng LIU (Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024, P. R. China) (E-mail: L_J_S@163.com) Fu Yi LI (Department of Mathematics, Shanxi University, Taiyuan 030006, P. R. China) (E-mail: fyli@sxu.edu.cn);Two-Point Expansion Fixed Point Theorems of Mixed Monotone Operators[J];Acta Mathematica Sinica;2003-06
6 Li Fuyi (Department of Mathematics, Shanxi University, Taiyuan 030006, China) Liu Zhaoli (Department of Mathematics, Shandong University, Jinan 250100, China);Multiple Positive Solutions of Some Nonlinear Operator Equations and Applications[J];ACTA MATHEMATICA SINICA;1998-01
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