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

[31] Existence and multiplicity of solutions for a second-order impulsive differential equation via variational methods
Wang, Yaqi
Zhao, Zengqin
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[32] COMBINED EFFECTS IN NONLINEAR SINGULAR SECOND-ORDER DIFFERENTIAL EQUATIONS ON THE HALF-LINE
Bachar, Imed
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[33] Existence and multiplicity of solutions for a second-order impulsive differential equation via variational methods
Yaqi Wang
Zengqin Zhao
Advances in Difference Equations, 2017
[34] Existence and multiplicity of periodic solutions for a class of second-order ordinary differential equations
Han, Xiaoling
Yang, Hujun
MONATSHEFTE FUR MATHEMATIK, 2020, 193 (04): : 829 - 843
[35] Existence and multiplicity of periodic solutions for a class of second-order ordinary differential equations
Xiaoling Han
Hujun Yang
Monatshefte für Mathematik, 2020, 193 : 829 - 843
[36] Method for Studying the Asymptotic Properties of Solutions to a System of Second-Order Linear Differential Equations on the Half-Line
S. Iskandarov
Differential Equations, 2020, 56 : 533 - 537
[37] Existence and multiplicity of periodic solutions of the second-order differential equations with jumping nonlinearities
Wang, ZH
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2002, 18 (03) : 615 - 624
[38] Method for Studying the Asymptotic Properties of Solutions to a System of Second-Order Linear Differential Equations on the Half-Line
Iskandarov, S.
DIFFERENTIAL EQUATIONS, 2020, 56 (04) : 533 - 537
[39] Multiple Positive Solutions for Boundary Value Problems of Second-Order Differential Equations System on the Half-Line
Xi, Shouliang
Jia, Mei
Ji, Huipeng
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (17) : 1 - 15
[40] Existence and Multiplicity of Periodic Solutions of the Second-Order Differential Equations with Jumping Nonlinearities
Zai Hong WANG Department of Mathematics
Acta Mathematica Sinica,English Series, 2002, 18 (03) : 615 - 624

← 1 2 3 4 5 →