Infinitely many solutions for nonlinear periodic boundary value problem with impulses

被引：4

作者：

Wang, Weibing ^{[1
]}

机构：

[1] Hunan Univ Sci & Technol, Dept Math, Xiangtan 411201, Hunan, Peoples R China

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2017年 / 111卷 / 04期

关键词：

Impulsive differential equation; Weak solution; Symmetric mountain pass theorem; Infinitely many solutions; DIFFERENTIAL-EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; DIRICHLET PROBLEMS; POSITIVE SOLUTIONS; MULTIPLICITY; EXISTENCE;

D O I：

10.1007/s13398-016-0348-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the existence of solutions for a periodic boundary value problem subject to perturbations of impulsive terms. By using the symmetric mountain pass theorem, we obtain two existence results for infinitely many solutions of the problem.

引用

页码：1093 / 1103

页数：11

共 21 条

[11] Variational approach to impulsive differential equations
Nieto, Juan J.
O'Regan, Donal
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (02) : 680 - 690
[12] Periodic solutions for ordinary differential equations with sublinear impulsive effects
Qian, DB
Li, XY
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 303 (01) : 288 - 303
[13] Schechter M., 2005, CAMBRIDGE STUDIES AD, P12
[14] Multiplicity of solutions for a class of impulsive differential equations with Dirichlet boundary conditions via variant fountain theorems
Sun, Juntao
Chen, Haibo
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (05) : 4062 - 4071
[15] The existence and multiplicity of solutions for an impulsive differential equation with two parameters via a variational method
Sun, Juntao
Chen, Haibo
Yang, Liu
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (02) : 440 - 449
[16] Multiple solutions of boundary-value problems for impulsive differential equations
Wang, Weibing
Yang, Xuxin
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (13) : 1649 - 1657
[17] Infinitely many solutions for a class of nonlinear impulsive differential equations with periodic boundary conditions
Zhang, Dan
Dai, Binxiang
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (10) : 3153 - 3160
[18] Multiplicity positive solutions to periodic problems for first-order impulsive differential equations
Zhang, Xiaoying
Li, Xiaoyue
Jiang, Daqing
Wang, Ke
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 52 (6-7) : 953 - 966
[19] An application of variational methods to Dirichlet boundary value problem with impulses
Zhang, Ziheng
Yuan, Rong
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (01) : 155 - 162
[20] Existence and multiplicity of solutions for some Dirichlet problems with impulsive effects
Zhou, Jianwen
Li, Yongkun
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 2856 - 2865

← 1 2 3 →