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《Journal of Qufu Normal University(Natural Science)》 2009-01
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Positive Solutions of Nonlinear Singular Fourth-order Differential Equation

GUO Xiao-xia,ZHANG Ke-mei(School of Mathematical Sciences,Qufu Normal University,273165,Qufu,Shandong,PRC)  
In this paper,the existence of positive solutions of nonlinear singular third-order differential equation with singular third-order boundary value problem is discussed by using Krasnoselskii's fixed point theorem of cone expansion-compression type.
【Fund】: 国家自然科学基金资助项目(10471075 10671167);; 山东省自然科学基金资助项目(Y2004A06)
【CateGory Index】: O175.8
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【References】
Chinese Journal Full-text Database 2 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 ZHANG Li,ZHANG Ke-mei(School of Mathematical Sciences,Qufu Normal University,273165,Qufu,Shandong,PRC);Positive Solutions for Systems of Nonlinear Singular Third-order Differential Equations[J];Journal of Qufu Normal University(Natural Science);2010-04
【Citations】
Chinese Journal Full-text Database 1 Hits
1 SANG Yan-bin, GUO Ying-xing, ZHANG Ke-mei(College of Mathematics,Qufu Normal University,273165,Qufu,Shandong,PRC);The Existence of Positive Solutions for a Class of Nonlinear Three-point Boundary Value Problems[J];Journal of Qufu Normal University(Natural Science);2005-04
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 XU Guo-an,YU Zan-ping,ZHOU Zhe-yan(School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007, China);Singular Perturbation of Three-point Boundary Value Problem for Third Order Semilinear Differential Equations[J];Journal of Fujian Normal University(Natural Science Edition);2006-03
2 FU Yang-geng,YU Zan-ping,ZHOU Zhe-yan (School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,China);The Higher-order Asymptotic Solution of a Class of Two Point Robin Boundary Value Problems for Third-order Differential Equation[J];Journal of Fujian Normal University(Natural Science Edition);2008-02
3 YU Zan-ping ZHANG Qiong-yuan ZHOU Zhe-yan(School of Math.and Comput.Sci.,Fujian Normal Univ.,Fuzhou 350007,China);Higher-order asymptotic solutions of a class of boundary value problems for third-order differential equation with a turning point[J];Applied Mathematics A Journal of Chinese Universities(Ser.A);2008-02
4 MING Wan-yuan, HUANG Xiang-jiao (Nanchang Hangkong University, Nanchang 330063, China);A Class of Singularly Perturbed Quasilinear Boundary Value Problems with Mixed Boundary Conditions[J];Journal of Nanchang Hangkong University(Natural Science);2008-04
5 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
6 HUANG Xiang-jiao~(1,2), LIU Shu-de~3, GONG Hao~1, LU Yu-rong~1(1. Department of Amplied Mathematics, College of Information Management,Chengdu University of Technology, Chengdu 610059, China;2. Nanchang Institute of Aeronautical Technology, Nanchang 330034, China;3. Department of Mathematics, Anhui Normal Unversity, Anhui Wuhu 241000, China);A Class of Singularly Perturbed Semilinear Boundary Value Problem with Mixed Boundary Conditions[J];Journal of Sichuan University (Natural Science Edition);2005-03
7 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
8 KANG Ping School of Mathematical Sciences,Qufu Normal University,Qufu 273165;School of Mathematics and Systems Science,Shandong University,Jinan 250100 LIU Lishan School of Mathematical Sciences,Qufu Normal University,Qufu,Shandong 273165;POSITIVE SOLUTIONS OF FOURTH ORDER SINGULAR BOUNDARY VALUE PROBLEMS[J];Journal of Systems Science and Mathematical Sciences;2008-05
9 MO Jia qi(莫嘉琪) (Dept of Math, Anhui Normal University, Wuhu 241000);A SINGULARLY PERTURBED CATALYTIC REACTION PROBLEM[J];JOURNAL OF MATHEMATICS;2000-03
10 YAO Jing-sun(Dept.of Math.,Anhui Normal University,Wuhu 241000,China);Asymptotic Solution of the Three Points Boundary Value Problem for Nonlinear Third Order Equation[J];Mathematica Applicata;2009-02
【Secondary References】
Chinese Journal Full-text Database 1 Hits
1 TAN Jing-jing,ZHANG Ke-mei(School of Mathematical Sciences,Qufu Normal University,273165,Qufu,Shandong,PRC);Nonlinear Second order m-point Singular Boundary Value Problem in Banach spaces[J];Journal of Qufu Normal University(Natural Science);2010-02
【Secondary Citations】
Chinese Journal Full-text Database 3 Hits
1 XU Fu-yi(College of Mathematics, Qufu Normal University,273165,Qufu,Shandong, PRC);POSITIVE SOLUTION OF NONLINEAR SINGULAR SECOND-ORDER THREE-POINT BOUNDARY VALUE PROBLEM[J];Journal of Qufu Normal University(Natural Science);2004-04
2 Yao Qingliu (Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003);AN EXISTENCE THEOREM OF POSITIVE SOLUTION TO A NONLINEAR SECOND-ORDER THREE-POINT BVP[J];;2003-04
3 Qing Liu YAO (Department of Applied Mathematics, Nanjing Economic University, Nanjing 210003, P. R. China);Existence and Multiplicity of Positive Solutions for a Class of Second-Order Three-Point Nonlinear Boundary Value Problems[J];Acta Mathematica Sinica;2002-06
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