Multiplicity of positive solutions to M-point boundary value problem of second order impulsive differential equations

被引：0

作者：

Yuan-sheng Tian

Chun-gen Liu

机构：

[1] Xiangnan University,Department of Mathematics

[2] Nankai University,School of Mathematics and LPMC

来源：

Acta Mathematicae Applicatae Sinica, English Series | 2010年 / 26卷

关键词：

Boundary value problem; impulsive differential equations; fixed-point theorem; positive solutions; 34B15;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：145 / 158

页数：13

共 50 条

[41] Green's function and positive solutions of nth order m-point boundary value problem
Changci, Pang
Wei, Dong
Zhongli, Wei
APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (02) : 1231 - 1239
[42] Optimal Control Problem of Positive Solutions to Second Order Impulsive Differential Equations
Zhang, Lingling
Yamazaki, Noriaki
Zhai, Chengbo
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2012, 31 (02): : 237 - 250
[43] Multiple Positive Solutions to m-Point Boundary Value Problem of Nonlinear Fractional Differential Equation
Tian, Yuansheng
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2015, 23 (01) : 43 - 56
[44] Multiple positive solutions of nonlinear singular m-point boundary value problem for second-order dynamic equations with sign changing coefficients on time scales
Xu, Fuyi
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (20) : 1 - 13
[45] Multiple Positive Solutions of Periodic Boundary Value Problems for Second Order Impulsive Differential Equations
Zhang, Xiaoying
Guan, Lihong
Yang, Lixian
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 802 - 810
[46] Positive Solutions of Multi-Point Boundary Value Problems for Second Order Impulsive Differential Equations with Deviating Arguments
Wang W.
Chen X.
Differential Equations and Dynamical Systems, 2011, 19 (4) : 375 - 387
[47] MULTIPLICITY OF POSITIVE SOLUTIONS FOR FOUR-POINT BOUNDARY VALUE PROBLEMS OF IMPULSIVE DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN
Shen, Li
Liu, Xiping
Lu, Zhenhua
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[48] ON A HIGHER-ORDER m-POINT BOUNDARY VALUE PROBLEM
Luca, Rodica
FIXED POINT THEORY, 2012, 13 (01): : 137 - 145
[49] POSITIVE SOLUTIONS TO m-POINT BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH p-LAPLACIAN
Anping Chen～1
2.Dept.of Math.
Annals of Applied Mathematics, 2011, 27 (04) : 422 - 433
[50] TRIPLE POSITIVE SOLUTIONS OF m-POINT BOUNDARY VALUE PROBLEM ON TIME SCALES WITH p-LAPLACIAN
Dogan, A.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (02): : 373 - 384

← 1 2 3 4 5 →