m-POINT BOUNDARY VALUE PROBLEM FOR SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATION AT RESONANCE

m-POINT BOUNDARY VALUE PROBLEM FOR SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATION AT RESONANCE

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摘要 In his paper,we obtain a general theorem concerning the existence of solutions to an m-point boundary value problem for the second-order differential equation with impulses.Moreover,the result can also be applied to study the usual m-point boundary value problem at resonance without impulses. In his paper,we obtain a general theorem concerning the existence of solutions to an m-point boundary value problem for the second-order differential equation with impulses.Moreover,the result can also be applied to study the usual m-point boundary value problem at resonance without impulses.

作者 Guolan Cai Dept.of Math.,Minzu University of China,Beijing 100081

出处《Annals of Differential Equations》 2012年第4期379-384,共6页 微分方程年刊（英文版）

基金 Sponsored by the National Natural Science Foundation of China (No.10971238)

关键词 impulsive differential equation m-point boundary value problem coincidence degree method resonance case impulsive differential equation m-point boundary value problem coincidence degree method resonance case

分类号 O175.8 [理学—基础数学]

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参考文献1

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共引文献4

1ZHANG Jian-ping,CAI Guo-lan.Eigenvalue of a Class of Impulsive Differential Equation with BVPs[J].Chinese Quarterly Journal of Mathematics,2006,21(3):375-380.
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4ZHANG Lin-li,LIU An-ping,LIU Wei-an.Periodic Boundary Value Problem for Second-order Impulsive Integro-differential Equation[J].Chinese Quarterly Journal of Mathematics,2015,30(2):227-235.

1Yuan-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.
2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.
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4Cheng-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
5YANG Jing-bao,WEI Zhong-li.Existence of Solutions for Generalized Sturm-Liouville m-point Boundary Value Problems in Banach Spaces[J].Chinese Quarterly Journal of Mathematics,2011,26(2):265-269.
6Chunyan 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.
7Chaolong Zhang～1,Qiru Wang～2,Fengjian Yang～1 (1.Dept.of Computational Science,Zhongkai University Agriculture and Engineering,Guangzhou 510225),2.School of Math.and Computational Science,Sun Yat-Sen University,Guangzhou 510275).ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATION ON TIME SCALES[J].Annals of Differential Equations,2011,27(4):509-515.
8Chunfang 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.
9Qiao-shu Zhou,Da-qing Jiang,Yu Tian.Multiplicity of Positive Solutions to Period Boundary Value Problems for Second Order Impulsive Differential Equations[J].Acta Mathematicae Applicatae Sinica,2010,26(1):113-124. 被引量：3
10Jinjun 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.

Annals of Differential Equations

2012年第4期

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m-POINT BOUNDARY VALUE PROBLEM FOR SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATION AT RESONANCE

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