Positive Solutions of Singular Fourth Order Four Point Boundary Value Problems with p-Laplacian Operator

带p-Laplacian的四阶四点奇异边值问题的正解(英文)

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摘要 In this paper,we consider the existence of positive solutions for the singular fourth-order four point boundary value problem with p-Laplacian operator.By using the fixed point theorem of cone expansion and compression,the existence of multiple positive solutions is ob-tained. In this paper, we consider the existence of positive solutions for the singular fourthorder four point boundary value problem with p-Laplacian operator. By using the fixed point theorem of cone expansion and compression, the existence of multiple positive solutions is obtained.

作者陈永鹏戚仕硕

机构地区 Department of Mathematics

出处《Journal of Mathematical Research and Exposition》 CSCD 2009年第4期671-681,共11页 数学研究与评论（英文版）

基金 the National Natural Science Foundation of China (No.10671181)

关键词 P-LAPLACIAN singular boundary value problem positive solution cone Laplacian算子四点边值问题正解的存在性奇异四阶不动点定理多重正解

分类号 O175.8 [理学—基础数学] TP391.41 [自动化与计算机技术—计算机应用技术]

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1GUPTA C P. Existence and uniqueness theorems for the bending of an elastic beam equation [J]. Appl. Anal., 1988, 26(4): 289-304.
2GUPTA C P. Existence and uniqueness results for the bending of an elastic beam equation at resonance [J]. J. Math. Anal. Appl., 1988, 135(1): 208-225.
3LIU Bing. Positive solutions of fourth-order two point boundary value problems [J]. Appl. Math. Comput., 2004, 148(2): 407-420.
4LIU Yansheng. Multiple positive solutions of nonlinear singular boundary value problem for fourth-order equations [J]. Appl. Math. Lett., 2004, 17(7): 747-757.
5WEI Zhongli. A class of fourth order singular boundary value problems [J]. Appl. Math. Comput., 2004, 153(3): 865-884.
6ZHANG Xinguang, LIU Lishan. Positive solutions of fourth-order four-point boundary value problems with p-Laplacian operator [J]. J. Math. Anal. Appl., 2007, 336(2): 1414-1423.
7GUO Dajun. Nonlinear Functional Analysis [M]. Jinan: Shandong Sci Tech Publishing, 2001.

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2Xing Qiu ZHANG.Positive Solutions for Singular Fourth-Order Integral Boundary-Value Problem with p-Laplacian Operator[J].Journal of Mathematical Research and Exposition,2010,30(3):495-506.
3Yansheng HE,Chengmin HOU.Existence of Solutions for Discrete Fractional Boundary Value Problems with p-Laplacian Operator[J].Journal of Mathematical Research with Applications,2014,34(2):197-208. 被引量：5
4Xiangkui Zhao1,2 ,Liying Zhao1,Weigao Ge2 (1. Applied Science School,University of Science and Technology Beijing,Beijing 100083,2. Dept. of Math.,Beijing Institute of Technology,Beijing 100081).EXISTENCE OF AT LEAST THREE POSITIVE SOLUTIONS TO MULTI-POINT BOUNDARY VALUE PROBLEM WITH p-LAPLACIAN OPERATOR[J].Annals of Differential Equations,2009,25(2):223-227.
5路月峰,葛渭高.Existence of Positive Solutions for Higher-Order Four-Point Boundary Value Problems with a p-Laplacian Operator[J].Journal of Beijing Institute of Technology,2009,18(1):98-100.
6KHAFAGY S. A..Maximum Principle and Existence of Weak Solutions for Nonlinear System Involving Singular p-Laplacian Operators[J].Journal of Partial Differential Equations,2016,29(2):89-101.
7Zheng Haiyan (Dept. of Math., College of Huangshan, Huangshan 245041, Anhui) Lu Shiping (College of Math. and Computer Science, Anhui Normal University, Wuhu 241000, Anhui).POSITIVE SOLUTIONS TO FOURTH ORDER MULTI-POINT BOUNDARY VALUE PROBLEMS WITH p-LAPLACIAN OPERATOR[J].Annals of Differential Equations,2009,25(1):105-113. 被引量：2
8Zongfu Zhou,Li Zeng,Baorui Jia,Jianzhong Xu.PERIODIC SOLUTIONS TO DUFFING TYPE p-LAPLACIAN EQUATION WITH SEVERAL p-LAPLACIAN OPERATORS[J].Annals of Differential Equations,2013,29(1):121-126. 被引量：1
9WEI Li (School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China,Institute of Applied Mathematics and Mechanics, Ordnance Engineering College, Shijiazhuang 050003, China. ZHOU Haiyun (Institute of Applied Mathematics and Mechanics, Ordnance Engineering College, Shijiazhuang 050003, China,Institute of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China..THE EXISTENCE OF SOLUTIONS OF NONLINEAR BOUNDARY VALUE PROBLEMS INVOLVING THE p-LAPLACIAN OPERATOR IN L^s-SPACES[J].Journal of Systems Science & Complexity,2005,18(4):511-521. 被引量：17
10Limin Guo,Xingqiu Zhang.EXISTENCE OF POSITIVE MULTIPLE SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN OPERATOR[J].Annals of Differential Equations,2014,30(4):398-406.

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2009年第4期

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Positive Solutions of Singular Fourth Order Four Point Boundary Value Problems with p-Laplacian Operator

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