EXISTENCE AND MULTIPLICITY OF SOLUTIONS TO A CLASS OF DIRICHLET PROBLEMS WITH IMPULSIVE EFFECTS

被引：0

作者：

Yingliang Song ^{[1
]}

机构：

[1] School of Math. and Computer Science, Fujian Normal University

来源：

Annals of Applied Mathematics | 2013年 / 02期

关键词：

impulsive differential equation; variational method; Dirichlet boundary condition;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence and multiplicity of solutions to a class of Dirichlet problems with impulsive effects via variational methods. Under an assumption that the nonlinearity f is superlinear but does not necessarily satisfy the Ambrosetti-Rabinowitz condition, we extend and improve some recent results.

引用

页码：195 / 202

页数：8

共 11 条

[1] Infinitely many solutions for a class of nonlinear impulsive differential equations with periodic boundary conditions [J].

Zhang, Dan ;

Dai, Binxiang .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (10) :3153-3160

[2]

New existence and multiplicity of solutions for some Dirichlet problems with impulsive effects[J] . Peng Chen,X.H. Tang.Mathematical and Computer Modelling . 2011 (3)

[3] Multiplicity of solutions for a class of impulsive differential equations with Dirichlet boundary conditions via variant fountain theorems [J].

Sun, Juntao ;

Chen, Haibo .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (05) :4062-4071

[4] The existence and multiplicity of solutions for an impulsive differential equation with two parameters via a variational method [J].

Sun, Juntao ;

Chen, Haibo ;

Yang, Liu .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (02) :440-449

[5]

Existence and multiplicity of solutions for some Dirichlet problems with impulsive effects[J] . Jianwen Zhou,Yongkun Li.Nonlinear Analysis . 2009 (7)

[6] Nonlinear boundary value problems for first order impulsive functional differential equations [J].

Yang, Xuxin ;

Shen, Jianhua .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (02) :1943-1952

[7]

Analysis of a delayed epidemic model with pulse vaccination and saturation incidence[J] . Shujing Gao,Lansun Chen,Juan J. Nieto,Angela Torres.Vaccine . 2006 (35)

[8]

Existence and global attractivity of positiveperiodic solution of periodic single-species impulsive Lotka-Volterra systems[J] . Jurang Yan,Aimin Zhao,J.J. Nieto.Mathematical and Computer Modelling . 2004 (5)

[9] Periodic boundary value problems for first-order impulsive ordinary differential equations [J].

Nieto, JJ .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 51 (07) :1223-1232

[10] A note on controllability of impulsive systems [J].

George, RK ;

Nandakumaran, AK ;

Arapostathis, A .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 241 (02) :276-283

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