Existence of Solutions for Generalized Sturm-Liouville m-point Boundary Value Problems in Banach Spaces

Existence of Solutions for Generalized Sturm-Liouville m-point Boundary Value Problems in Banach Spaces

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摘要 By applying the fixed-point theorem of strict-set-contraction,this paper establishes the existence of one solution or one positive solution to the generalized Sturm-Liouville m-point boundary value problem in Banach spaces.

作者 YANG Jing-bao WEI Zhong-li

机构地区 Department of Sciences School of Sciences

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第2期265-269,共5页 数学季刊（英文版）

基金 Supported by the Research Project of Bozhou Teacher’s College(BSKY0805) Supported by the Natural Science Research Project of Anhui Province(KJ2009B093)

关键词 Banach spaces fixed-point theorem of strict-set-contraction STURM-LIOUVILLE m-pointt boundary value problem positive solution Banach 空格；strict-set-contraction 的定点定理；Sturm-Liouville；n-pointt 边界价值问题；积极答案；

分类号 O175.8 [理学—基础数学]

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1LIU Bing, Positive solutions of generalized Sturm-Liouvitle four-point boundary value problems in Banach spaces[J]. Nonlinear Analysis, 2007, 66: 1661-1674.
2GUO Da-jun. Nonlinear Functional Analysis[M]. Jinan: Scientific Pressing House of Shandong, 2004: 235-235.
3MA Ru-yun. Nonlocal Problems for the Nonlinear Ordinary Differential Equation[M]. Beijing: Science Press, 2004: 162-166.
4GUO Da-jun, LAKSHMIKANTHAM V, LIU Xin-zhi. Nonlinear Integral Equations in Abstract Spaces[M].Dordrecht: Kluwer Academic Publishers, 1996: 9-22.

1纪玉德,郭彦平,禹长龙.Positive solutions to (n-1,1) m-point boundary value problems with dependence on the first order derivative[J].Applied Mathematics and Mechanics(English Edition),2009,30(4):527-536.
2张福保.SOLVABILITY OF M-POINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,1998,18(2):221-226. 被引量：1
3Cheng-bo Zhai,Cheng Yang.Multiple Positive Solutions for Semi-positone m-point Boundary Value Problems[J].Acta Mathematicae Applicatae Sinica,2011,27(3):419-426. 被引量：1
4Chunyan Xue,Meiqiang Feng(School of Science,Beijing Information Science & Technology University,Beijing 100192).EXISTENCE OF SOLUTIONS TO AN m-POINT BOUNDARY VALUE PROBLEM OF THIRD ORDER ODE’S AT RESONANCE[J].Annals of Differential Equations,2011,27(3):384-389.
5Chunfang Shen,Liu Yang,Xiaoyu Wang (Dept. of Math.,Hefei Teacher’s College,Heifei 230061) Xiping Liu (College of Science,University of Shanghai for Science and Technology,Shanghai 200093).TRIPLE POSITIVE SOLUTIONS TO A CLASS OF m-POINT BOUNDARY VALUE PROBLEM OF SECOND-ORDER FUNCTIONAL DIFFERENTIAL EQUATION[J].Annals of Differential Equations,2009,25(2):179-188.
6Jinjun Fan.POSITIVE SOLUTIONS TO NONLINEAR m-POINT BOUNDARY VALUE PROBLEM WITH p-LAPLACE OPERATOR ON TIME SCALES[J].Annals of Differential Equations,2013,29(2):132-141.
7任景莉,葛渭高.Existence of Two Solutions of Nonlinear m-Point Boundary Value Problems[J].Journal of Beijing Institute of Technology,2003,12(1):97-100. 被引量：1
8Guolan Cai Dept.of Math.,Minzu University of China,Beijing 100081.m-POINT BOUNDARY VALUE PROBLEM FOR SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATION AT RESONANCE[J].Annals of Differential Equations,2012,28(4):379-384.
9Zhang Xingqiu (School of Mathematics, Liaocheng University, Liaocheng 252059, Shandong).EXISTENCE OF POSITIVE SOLUTION TO SUPERLINEAR SEMIPOSITONE SINGULAR m-POINT BOUNDARY VALUE PROBLEMS[J].Annals of Differential Equations,2008,24(4):490-497. 被引量：1
10Yuan-sheng Tian,Chun-gen Liu.Multiplicity of Positive Solutions to M-point Boundary Value Problem of Second Order Impulsive Differential Equations[J].Acta Mathematicae Applicatae Sinica,2010,26(1):145-158.

Chinese Quarterly Journal of Mathematics

2011年第2期

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Existence of Solutions for Generalized Sturm-Liouville m-point Boundary Value Problems in Banach Spaces

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