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

作　　者：Yuan-sheng Tian Chun-gen Liu 

机构地区：[1]Department of Mathematics, Xiangnan University, Chenzhou 423000, China [2]School of Mathematics and LPMC, Nankai University, Tianjin 300071, China

出　　处：《Acta Mathematicae Applicatae Sinica》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)

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.

关 键 词：Boundary value problem impulsive differential equations fixed-point theorem positive solutions 

分 类 号：O175.1[理学—数学] O175.8[理学—基础数学]