The Existence and Multiplicity of Solutions for Second-order Impulsive Differential Equations on the Half-line

被引：2

作者：

Binxiang Dai

Dan Zhang

机构：

[1] Central South University,Department of Mathematics

[2] Hunan University of Science and Engineering,Department of Mathematics

来源：

Results in Mathematics | 2013年 / 63卷

关键词：

34B37; 35B38; Impulsive differential equations; critical point theory; half-line; variant fountain theorems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we consider the existence and multiplicity of solutions for a class of nonlinear impulsive problem on the half-line. By using a variational method and a variant fountain theorem, we obtain some new criteria to guarantee that the impulsive problem has at least one solution and infinitely many solutions respectively. We extend and improve some recent results.

引用

页码：135 / 149

页数：14

共 50 条

[1] The Existence and Multiplicity of Solutions for Second-order Impulsive Differential Equations on the Half-line
Dai, Binxiang
Zhang, Dan
RESULTS IN MATHEMATICS, 2013, 63 (1-2) : 135 - 149
[2] Existence and multiplicity of solutions for second-order impulsive differential equations on the half-line
Lizhao Yan
Jian Liu
Zhiguo Luo
Advances in Difference Equations, 2013
[3] Existence and multiplicity of solutions for second-order impulsive differential equations on the half-line
Yan, Lizhao
Liu, Jian
Luo, Zhiguo
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[4] Existence of positive solutions for second-order semipositone differential equations on the half-line
Zhang, Xinguang
Liu, Lishan
Wu, Yonghong
APPLIED MATHEMATICS AND COMPUTATION, 2007, 185 (01) : 628 - 635
[5] Existence and multiplicity of solutions for second-order impulsive differential equations with Dirichlet problems
Chen, Peng
Tang, Xianhua
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (24) : 11775 - 11789
[6] EXISTENCE AND UNIQUENESS FOR SUPERLINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS ON THE HALF-LINE
Bachar, Imed
Maagli, Habib
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[7] Variational Approaches to Kirchhoff-Type Second-Order Impulsive Differential Equations on the Half-Line
Caristi, Giuseppe
Heidarkhani, Shapour
Salari, Amjad
RESULTS IN MATHEMATICS, 2018, 73 (01)
[8] Variational Approaches to Kirchhoff-Type Second-Order Impulsive Differential Equations on the Half-Line
Giuseppe Caristi
Shapour Heidarkhani
Amjad Salari
Results in Mathematics, 2018, 73
[9] Boundary value problems on half-line for second-order nonlinear impulsive differential equations
Akgol, S. D.
Zafer, A.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (14) : 5459 - 5465
[10] MULTIPLE SOLUTIONS FOR A KIRCHHOFF-TYPE SECOND-ORDER IMPULSIVE DIFFERENTIAL EQUATION ON THE HALF-LINE
Afrouzi, Ghasem A.
Heidarkhani, Shapour
Moradi, Shahin
QUAESTIONES MATHEMATICAE, 2022, 45 (01) : 109 - 141

← 1 2 3 4 5 →