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《Acta Analysis Functionalis Applicata》 2008-01
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The Existence of Two Positive Solutions of Fourth-order Singular Boundary Value Problems

WANG Chun-mei, ZHANG Ke-meiDepartment of Mathematics, Qufu Normal University, Qufu Shandong 273165, China  
The existence of two C2 positive solutions as well as C3 positive solutions is established for a singular boundary value problems of fourth order differential equations by using the fixed point theorem of cone expansion and cone compression of norm type.
【Fund】: 国家自然科学基金(10471075 10671167)
【CateGory Index】: O175.8
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【References】
Chinese Journal Full-text Database 1 Hits
1 LIU Ying (Huaiyin Teachers College,Huaian 223300,China);Positive Solution of Fourth——Order Singular Boundary Value Problems[J];Journal of Jiamusi University(Natural Science Edition);2008-06
【Citations】
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1 Chai Guoqin(Department of Mathematics, Hubei Normal University, Huangshi 435002);Positive Solutions of Fourth Order Singular Boundary Value Problems[J];Acta Mathematiea Scientia;2005-06
2 Chang Ci PANG Zhong Li WEI(Department of Mathematics and Physics, Shandong Architectural and Civil Engineering Institute, Jinan 250014, P. R. China);The Existence of Two Positive Solutions of Singular Boundary Value Problem of Fourth Order Differential Equations[J];Acta Mathematica Sinica;2003-02
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【Co-citations】
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1 XIE Sheng-li(Department of Mathematics & Physics,Anhui University of Architecture,Hefei 230601);Positive Solutions of BVP for Systems of Nonlinear Singular Differential Equations[J];Journal of Anhui Institute of Architecture & Industry(Natural Science);2009-03
2 Zhang Xian(Department of Mathematics );Topological Degree of Mapping in Product Space[J];Journal of Anhui Normal University(Natural Science);1995-03
3 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
4 WU Li-bing1,SHA Qiu-fu1,SUN Tao2(1.School of Science,University of Science and Technology Liaoning,Anshan 114051,China;2.School of Science,Northestern University,Shengyang 110004);Existence and uniqueness of solution for nonliner operator equation with conditional complete relative perfect set[J];Journal of University of Science and Technology Liaoning;2009-02
5 Zou Wenming ( Dept. of Fundam. Sci. );THE THEOREM AND APPLICITION OF THE UNIQUE EXISTENCE OF THE POSITIVE SOLUTION FOR ONE KIND OF NON-α-CONCAVE (-α-CONVEX) OPERATER EQUATION[J];Journal of North China University of Technology;1992-03
6 Li Meisheng (Beijing University of Aeronautics and Astronautics,Dept. Of Applied Mathematics and Physics)Bac Jiguang (Beijing Normal University, Dept. of Mathematics);STATIC SOLUTIONS OF THE BURGERS-KdV EQUATIONS WITH THE NONLINEAR BOUNDARY CONDITIONS[J];JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS;1995-03
7 LI Cui-zhe, LI Zhi-yan(School of Science, Beijing Institute of Technology, Beijing100081, China);Existence of Solutions of Third-Order p-Laplacian Resonant Multi-Point Boundary Value Problems[J];Journal of Beijing Institute of Technology;2004-11
8 WANG Xin-feng~1,CHEN Ming-wen~2 (1.Basic Courses Department of Beijing Union University,Beijing100101,China; 2.University of Science and Technology Beijing, Beijing100083,China);Solutions of Two-point BVP of Integro-differential Equations in Banach Spaces[J];Journal of Beijing Union University;2004-02
9 DING Lei,XIA Da-feng (College of Mathematics & Physics,Nanjing University of Information Science & Technology,Nanjing 210044,China);The Existence of Positive Solutions of a Class of Boundary Value Problems for Systems of Second Order Three-dimensional Differential Equations[J];Journal of Beijing Union University(Natural Sciences);2009-01
10 ZHANG Ming-cheng~1,SUN Zhong-min~2,ZHAO Zeng-qin~3(1.Zibo Normal College,Zibo Shandong 255100,China;2.Weifang Educational College,Weifang Shandong 262500,China;3.Department of Mathematics,Qufu Normal University,Qufu Shandong 273165,China);Existence of Positive Solutions to Second-order Three-point Singular Boundary Value Problem[J];Journal of Beijing Union University(Natural Sciences);2009-02
【Co-references】
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1 WEI Zhong-li, LI Xiu-zhen (Department of Mathematics and Physics, Shandong Architectural and Civil Engineering Institute, Jinan 250014);Positive Solutions of a Class of Singular Superlinear Boundary Value Problems of Fourth Order Di?erential Equations[J];Chinese Journal of Engineering Mathematics;2005-01
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5 Chang Ci PANG Zhong Li WEI(Department of Mathematics and Physics, Shandong Architectural and Civil Engineering Institute, Jinan 250014, P. R. China);The Existence of Two Positive Solutions of Singular Boundary Value Problem of Fourth Order Differential Equations[J];Acta Mathematica Sinica;2003-02
6 Zhong Li WEIDepartment of Mathematics and Physics, Shandong Architectural andCivil Engineering Institute, Jinan 250014, P. R. ChinaE-mail: jnwzl@yahoo. com.cnZhi Tao ZHANGInstitute, of Mathematics, Academy of Mathematics and Systems Science,Academia Sinica, Beijing 100080, P. R. ChinaE-mail: zzt@mail.math.ac.cn;A Necessary and Sufficient Condtion for the Existence of Positive Solutions of Singular Superlinear Boundary Value Problems[J];Acta Mathematica Sinica;2005-01
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【Secondary Citations】
Chinese Journal Full-text Database 6 Hits
1 Chai guoqing (Department of Mathematics, Hubei Normal University, Hubei Huangshi 435002);The Existence of Positive Solutions singular Boundary Problems[J];Acta Mathematiea Scientia;2001-04
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