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《Acta Analysis Functionalis Applicata》 2004-01
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Multiple Positive Solutions of Two-Point Boundary Value Problem of Four-Order Ordinary Differential Equations in Banach Space

FENG Mei-qiang~1, ZHANG Xue-mei~2 (1. Department of Fundamental Sciences, Beijing Information Technology Institute, Beijing 100101, China) (2. Department of Fundamental Sciences,North China Electric Power University, Beijing 102206, China)  
By using fixed point theory,in this paper we study the existence of multiple positive solutions of equationx~((4))(t)=f(t,x(t)), t∈[0.1] x(0)=x′(1)=x″(0)=x(1)=θin Banach space.
【CateGory Index】: O177
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【References】
Chinese Journal Full-text Database 3 Hits
1 LI Xiaolong(College of Mathematics and Statistics,Longdong College,Qingyang 745000,Gansu);The Existence of Positive Solutions for a Class of Fourth-order Boundary Value Problems in Ordered Banach Spaces[J];四川师范大学学报(自然科学版);2013-03
2 FENG Mei-qiang1,2, GE Wei-gao2(1.Department of Fundamental Sciences,Beijing Information Technology Institute,Beijing 100101,China)(2.Department of Mathematics,Beijing Institute of Technology,Beijing 100081,China);Positive Solutions of Fourth-Order Boundary Value Problem in Banach Spaces[J];数学的实践与认识;2007-21
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 Wei Zhongli (Department of Tundamental Courses, Shandong Architectural and Civil Engineering Institute, Jinan 250014, P. R. China);Positive Solution of Singular Boundary Value Problems of Fourth Order Differential Equations[J];数学学报;1999-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHUANG Yaosen;LI Shanshan;School of Mathematics and Information Science, Xinxiang University;;Existence of Solutions to Boundary Value Problems of Fourth-order Impulsive Differential Equations[J];新乡学院学报;2015-09
2 YAO Xiao-gui;PENG Yi-qing;Mathematical Section,Department of Science Course,Army officer Academy of PLA;;The Existence of Positive Solutions for a Fourth-order Two-point Boundary Value Problem in Banach Spaces[J];曲阜师范大学学报(自然科学版);2014-04
3 Lu Yu;School of Applied Mathematics,Guangdong University of Technology;;Existence of Solutions for a Class of Fourth-Order BVP[J];广东工业大学学报;2014-02
4 WANG Yunjie1,ZHU Jiang2 (1.Kewen Institute of Xuzhou Normal University,Xuzhou 221116,China; 2.School of Mathematical Science,Xuzhou Normal University,Xuzhou 221116,China);The Existence and Multiplicity of Positive Solutions for a Class of Fourth Order Boundary Value Problem[J];中山大学学报(自然科学版);2012-01
5 TANG Xiao-song,LUO Jie-ying(School of Mathematics and Physics,Jinggangshan Universtiy,ji'an,Jiangxi 343009,China,);EXISTENCE OF MULTIPLE POSITIVE SOLUTION OF FOURTH-ORDER TWO-POINT BOUNDARY VALUE PROBLEM[J];井冈山大学学报(自然科学版);2011-04
6 Zou Yumei (College of Information Science and Engineering, Shandong University of Science and Technology,Qingdao Shandong 266510);The Existence of Two Positive Solutions of Singular Boundary Value Problem of Fourth Order Differential Equations[J];数学研究;2011-01
7 WANG Xin-hua,ZHANG Xing-qiu(College of Mathematics Sciences,Liaocheng University,Liaocheng 252059,Shandong,China);Existence of positive solutions for fourth order singular differential equations with Sturm-Liouville boundary conditions[J];山东大学学报(理学版);2010-08
8 LI Xiu-zhen1,ZHAO Zeng-qin2 (1.School of Science,Shandong Jianzhu University,Jinan 250101,China;2.School of Mathematics Science,Qufu Normal University,Qufu 273165,China);Positive solutions for a class of fourth order singular sublinear boundary value problems[J];中国石油大学学报(自然科学版);2009-06
9 YAO Qingliu (Department of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing, Jiangsu,210003,P.R.China);Existence of Positive Solution to Singular Beam Equations Simply Supported at Both Ends[J];数学进展;2009-05
10 WANG Xin-hua,ZHANG Xing-qiu(College of mathematics Sciences,Liaocheng University, Liaocheng 252059,China);A Necessary and Sufficient Condition for the Existence of Positive Solutions of Fourth Order Singular Differential Equations[J];数学的实践与认识;2009-17
【Co-references】
Chinese Journal Full-text Database 9 Hits
1 GAO Hong-liang,HAN Xiao-ling College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China;Existence of Positive Solutions of a Fourth-Order Boundary Value Problem with Two Parameters[J];西南大学学报(自然科学版);2011-11
2 IV Zhi-wei,HUA Shou-liang,YANG Hui(Department of Science,Anyang Institute of Technology,Anyang He′nan 455000,China);The Existence of Solutions of Two-Point Boundary Value Problem of Fourth-order Ordinary Differential Equations in Banach Spaces[J];数学的实践与认识;2008-24
3 Chai Guoqing (Department of Mathematics, Hubei Normal University, Huangshi 435002) Huang Chaoyan (College of Mathematics and Computer Science, Hubei University, Wuhan 430062);Existence of Positive Solutions for Fourth-Order Boundary Value Problem with Variable Coefficients[J];数学物理学报;2007-06
4 FENG Mei-qiang1,2, GE Wei-gao2(1.Department of Fundamental Sciences,Beijing Information Technology Institute,Beijing 100101,China)(2.Department of Mathematics,Beijing Institute of Technology,Beijing 100081,China);Positive Solutions of Fourth-Order Boundary Value Problem in Banach Spaces[J];数学的实践与认识;2007-21
5 LV Zhi-wei Department of Fundamental Courses, Anyang Institute of Engineering, Henan Anyang 455000, China;.School of Mathematics and Systems Science, Shandong University, Ji′nan Shandong 250100, China;The Existence of Maximal and Minimal Solutions of Two-point Boundary Value Problem of Fourth-order Ordinary Differential Equations in Banach Spaces[J];应用泛函分析学报;2005-04
6 Yong Xiang LI College of Mathematics and Information Seience, Northwest Normal University, Lanzhou 730070, P. R. China;Existence of Solutions of Initial Value Problems for Abstract Semilinear Evolution Equations[J];数学学报;2005-06
7 FENG Mei-qiang~1, ZHANG Xue-mei~2 (1. Department of Fundamental Sciences, Beijing Information Technology Institute, Beijing 100101, China) (2. Department of Fundamental Sciences,North China Electric Power University, Beijing 102206, China);Multiple Positive Solutions of Two-Point Boundary Value Problem of Four-Order Ordinary Differential Equations in Banach Space[J];应用泛函分析学报;2004-01
8 Wei Zhongli (Department of Tundamental Courses, Shandong Architectural and Civil Engineering Institute, Jinan 250014, P. R. China);Positive Solution of Singular Boundary Value Problems of Fourth Order Differential Equations[J];数学学报;1999-04
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【Secondary References】
Chinese Journal Full-text Database 3 Hits
1 Li Wei-peng;Li Xiao-long;College of Mathematics and Statistics,Longdong University;;Existence of Positive Solutions for Fourth-OrderTwo-Point Boundary Value Problems in Banach Spaces[J];大学数学;2015-05
2 LI Xiaolong(College of Mathematics and Statistics,Longdong College,Qingyang 745000,Gansu);The Existence of Positive Solutions for a Class of Fourth-order Boundary Value Problems in Ordered Banach Spaces[J];四川师范大学学报(自然科学版);2013-03
3 LI Qiang(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China);The positive solutions for fourth-order two-point boundary value problem in Banach spaces[J];黑龙江大学自然科学学报;2012-06
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