Multiplicity of Positive Solutions to M-point Boundary Value Problem of Second Order Impulsive Differential Equations

Multiplicity of Positive Solutions to M-point Boundary Value Problem of Second Order Impulsive Differential Equations

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摘要 In this paper, by using Avery-Peterson theorem on a convex cone, we consider the m-point boundary value problems for second order impulsive differential equations with the nonlinear term depending on the first order derivative, the multiplicity result of three positive solutions are obtained. In this paper, by using Avery-Peterson theorem on a convex cone, we consider the m-point boundary value problems for second order impulsive differential equations with the nonlinear term depending on the first order derivative, the multiplicity result of three positive solutions are obtained.

作者 Yuan-sheng Tian Chun-gen Liu

机构地区 Department of Mathematics School of Mathematics and LPMC

出处《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2010年第1期145-158,共14页 应用数学学报（英文版）

基金 Supported by the Scientific Research Foundation of Hunan Provincial Education Department(08C826) was also supported by the Aid Program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province,and the Construct Program of the Key Discipline in Hunan Province.Supported by the National Natural Science Foundation of China(No.i0531050) the innovation group funds (10621101) 973 Program of MOST(2006CB805903)

关键词 Boundary value problem impulsive differential equations fixed-point theorem positive solutions Boundary value problem, impulsive differential equations, fixed-point theorem, positive solutions

分类号 O175.1 [理学—基础数学] O175.8 [理学—基础数学]

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1Guolan 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.
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Multiplicity of Positive Solutions to M-point Boundary Value Problem of Second Order Impulsive Differential Equations

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