Existence and Multiplicity of Periodic Solutions Generated by Impulses

被引：3

作者：

Yang, Liu ^{[1
,2
]}

Chen, Haibo ^{[1
]}

机构：

[1] Cent S Univ, Dept Math, Changsha 421008, Hunan, Peoples R China

[2] Hengyang Normal Univ, Dept Math & Comp Sci, Hengyang 421008, Hunan, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2011年

关键词：

BOUNDARY-VALUE PROBLEM; DIFFERENTIAL-EQUATIONS; HAMILTONIAN-SYSTEMS; CONTROLLABILITY; THEOREM;

D O I：

10.1155/2011/310957

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the existence and multiplicity of periodic solutions for a class of second-order differential systems with impulses. By using variational methods and critical point theory, we obtain such a system possesses at least one nonzero, two nonzero, or infinitely many periodic solutions generated by impulses under different conditions, respectively. Recent results in the literature are generalized and significantly improved.

引用

页码：1 / 15

页数：15

共 50 条

[1] Existence and multiplicity of periodic solutions generated by impulses
Yang, Liu
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[2] On the existence of discontinuous periodic solutions for a class of Lienard systems with impulses
Jiang, Fangfang
Sun, Jitao
APPLIED MATHEMATICS AND COMPUTATION, 2016, 291 : 259 - 265
[3] Existence and multiplicity of solutions for second-order Dirichlet problems with nonlinear impulses
Ma, Mantang
Ma, Ruyun
OPEN MATHEMATICS, 2022, 20 (01): : 1470 - 1478
[4] Existence and Multiplicity of Solutions for a Periodic Hill's Equation with Parametric Dependence and Singularities
Cabada, Alberto
Angel Cid, Jose
ABSTRACT AND APPLIED ANALYSIS, 2011,
[5] Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses
Yao, Wangjin
BOUNDARY VALUE PROBLEMS, 2023, 2023 (01)
[6] Existence and multiplicity of rotating periodic solutions for Hamiltonian systems with a general twist condition ✩
Liu, Guanggang
Li, Yong
Yang, Xue
JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 369 : 229 - 252
[7] Positive Periodic Solutions for a First Order Singular Ordinary Differential Equation Generated by Impulses
Nieto, Juan J.
Uzal, Jose M.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2018, 17 (03) : 637 - 650
[8] Necessary and sufficient conditions for the existence of non-constant solutions generated by impulses of second order BVPs with convex potential
Bai, Liang
Dai, Binxiang
Nieto, Juan J.
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2018, (01) : 1 - 13
[9] The existence and multiplicity of symmetrical periodic solutions for asymptotically linear distributed delay differential systems
Zhong, Yuyou
Wang, Qi
Liu, Chungen
JOURNAL OF DIFFERENTIAL EQUATIONS, 2025, 420 : 99 - 117
[10] Existence and stability analysis of solutions for periodic conformable differential systems with non-instantaneous impulses
Ding, Yuanlin
AIMS MATHEMATICS, 2025, 10 (02): : 4040 - 4066

← 1 2 3 4 5 →