Existence and multiplicity of periodic solutions generated by impulses

被引：0

作者：

Yang, Liu ^{[1
]}

机构：

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

关键词：

periodic solutions; solution generated by impulses; critical point; BOUNDARY-VALUE PROBLEM; EQUATIONS; SYSTEMS;

D O I：

10.1186/1687-1847-2013-347

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence and multiplicity of periodic solutions for a class of p-Laplacian systems with impulses. By using variational methods and critical point theory, we obtain that such a system possesses at least one, two periodic solutions generated by impulses under different conditions, respectively. Recent results in the literature are generalized and significantly improved.

引用

页数：12

共 50 条

[1] Existence and multiplicity of periodic solutions generated by impulses
Liu Yang
Advances in Difference Equations, 2013
[2] Existence and Multiplicity of Periodic Solutions Generated by Impulses
Yang, Liu
Chen, Haibo
ABSTRACT AND APPLIED ANALYSIS, 2011, : 1 - 15
[3] Periodic and homoclinic solutions generated by impulses
Zhang, Hao
Li, Zhixiang
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (01) : 39 - 51
[4] 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
[5] EXISTENCE AND MULTIPLICITY OF SOLUTIONS TO SUPERLINEAR PERIODIC PARABOLIC PROBLEMS
Godoy, Tomas
Kaufmann, Uriel
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[6] Periodic and homoclinic solutions generated by impulses for asymptotically linear and sublinear Hamiltonian system
Han, Xizhi
Zhang, Hao
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (05) : 1531 - 1541
[7] Existence and Multiplicity of Periodic Solutions for Second Order Hamiltonian Systems Depending on a Parameter
Bonanno, Gabriele
Livrea, Roberto
JOURNAL OF CONVEX ANALYSIS, 2013, 20 (04) : 1075 - 1094
[8] Existence and exponential stability of anti-periodic solutions of Hopfield neural networks with impulses
Shi, Peilin
Dong, Lingzhen
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (02) : 623 - 630
[9] Existence and multiplicity of periodic solutions for nonautonomous second order systems
Tang, CL
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 32 (03) : 299 - 304
[10] Existence and multiplicity of periodic solutions to differential equations with attractive singularities
Godoy, Jose
Hakl, Robert
Yu, Xingchen
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2022, 152 (02) : 402 - 427

← 1 2 3 4 5 →