A Generalized Upper and Lower Solution Method for Singular Discrete Boundary Value Problems 被引量：1

奇异差分边值问题上下解方法的推广(英文)

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摘要 This paper presents new existence results for singular discrete boundary value problems. In particular our nonlinearity may be singular in its dependent variable and is allowed to change sign.

作者胡卫敏韦俊

机构地区 Department of Mathematics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第2期212-219,共8页 数学季刊（英文版）

关键词 upper and lower solutions discrete boundary value problem EXISTENCE SINGULAR 奇异差分边值问题上下解方法存在性常微分方程

分类号 O175.08 [理学—基础数学]

作者简介 HU Wei-min（1968-）, male, native of Wuxi, Jiangsu, an associate professor of Yili Teacher＇s College, engage in applied mathematics, ordinary differential equation.

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参考文献13

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同被引文献14

1AGARWAL R P, O'REGAN D. Nonlinear superlinear singular and nonsingular second order boundary value problems[J]. J Differential Equations, 1998, 143: 60-95.
2AGARWAL R P, O'REGAN D. Twin solutions to singular Dirichlet problems[J]. J Math Anal Appl, 1999, 240: 433-445.
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引证文献1

1ZHAO Xia,HU Wei-min,JIANG Da-qing.Existence Theory for Single and Multiple Positive Solutions to Singular Boundary Value Problems for Second-order Differential Systems P-Laplacian[J].Chinese Quarterly Journal of Mathematics,2013,28(3):345-354. 被引量：4

二级引证文献4

1谭惠轩,封汉颍,冯杏芳,杜亚涛.Triple Positive Solutions to a Third-order Three-point Boundary Value Problem with p-Laplacian Operator[J].Chinese Quarterly Journal of Mathematics,2015,30(1):55-65. 被引量：1
2薛益民,苏莹,胡飞.非线性项包含导数的边值问题的一个对称解[J].合肥工业大学学报（自然科学版）,2016,39(5):716-720. 被引量：1
3薛益民,苏莹.一类p-Laplacian边值问题多个对称解的存在性[J].安徽大学学报（自然科学版）,2016,40(4):30-36. 被引量：1
4薛益民,苏莹.一类非线性项包含导数的p-Laplacian边值问题对称解的存在性[J].河北师范大学学报（自然科学版）,2019,43(1):1-5.

1Xuewen Qin,Fang Su(Institute of Math.and Physics,Wuzhou University,Wuzhou 543002,Guangxi).EXISTENCE OF SOLUTIONS TO A CLASS OF NONLINEAR n-DIMENSIONAL DISCRETE BOUNDARY VALUE PROBLEMS[J].Annals of Differential Equations,2012,28(4):417-422.
2王国灿,金丽.SOME NEW RESULTS FOR NONLINEAR BOUNDARY VALUE PROBLEMS OF MIXED TYPE INTEGRODIFFERENTIAL EQUATION[J].Annals of Differential Equations,2003,19(2):202-208. 被引量：1
3Zheng 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
4高永馨,石新华.Existence of Solutions of Two-Point Boundary Value Problems for 4n th-Order Nonlinear Differential Equation[J].Transactions of Tianjin University,2004,10(2):158-161.
5Ravi P.AGARWAL,Donal O'REGAN,Svatoslav STANEK.An Upper and Lower Solution Theory for the Problem(G′(y))′+f(t,y)=0 on Finite and Infinite Intervals[J].Acta Mathematica Sinica,English Series,2006,22(3):827-832. 被引量：2
6Cheng Ouyang.ASYMPTOTIC ESTIMATION FOR SOLUTION OF A CLASS OF SEMI-LINEAR ROBIN PROBLEMS[J].Analysis in Theory and Applications,2005,21(4):311-316.
7WAN Haitao.Global Asymptotic Behavior of Large Solutions for a Class of Semilinear Elliptic Problems[J].Wuhan University Journal of Natural Sciences,2017,22(1):29-37.
8鲁世平.SINGULARLY PERTURBED NONLINEAR BOUNDARY VALUE PROBLEM FOR A KIND OF VOLTERRA TYPE FUNCTIONAL DIFFERENTIAL EQUATION[J].Applied Mathematics and Mechanics(English Edition),2003,24(12):1441-1449.

Chinese Quarterly Journal of Mathematics

2007年第2期

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A Generalized Upper and Lower Solution Method for Singular Discrete Boundary Value Problems 被引量：1

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