Nonconstant periodic solutions for a class of ordinary p-Laplacian systems

被引:4
|
作者
Li, Chun [1 ]
Agarwal, Ravi P. [2 ]
Pu, Yang [1 ,3 ]
Tang, Chun-Lei [1 ]
机构
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA
[3] China West Nomal Univ, Coll Math & Informat, Nanchong 637002, Peoples R China
来源
基金
中国国家自然科学基金;
关键词
periodic solutions; ordinary p-Laplacian systems; generalized mountain pass theorem; HAMILTONIAN-SYSTEMS; SUBHARMONIC SOLUTIONS; EXISTENCE; MULTIPLICITY;
D O I
10.1186/s13661-016-0721-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the existence of periodic solutions for a class of ordinary p-Laplacian systems. Our technique is based on the generalized mountain pass theorem of Rabinowitz.
引用
收藏
页数:12
相关论文
共 50 条
  • [41] Periodic solutions for a class of reaction-diffusion equations with p-Laplacian
    Pang, Peter Y. H.
    Wang, Yifu
    Yin, Jingxue
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (01) : 323 - 331
  • [42] Solitary Wave and Periodic Wave Solutions for a Class of Singular p-Laplacian Systems with Impulsive Effects
    Kong, Fanchao
    Luo, Zhiguo
    Qiu, Hongjun
    MATHEMATICAL MODELLING AND ANALYSIS, 2018, 23 (01) : 17 - 32
  • [43] EXISTENCE OF SOLUTIONS FOR A CLASS OF p-LAPLACIAN SYSTEMS WITH IMPULSIVE EFFECTS
    Chen, Peng
    Tang, X. H.
    TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (03): : 803 - 828
  • [44] Nonconstant Periodic Solutions of Discrete p-Laplacian System via Clark Duality and Computations of the Critical Groups
    Zheng, Bo
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [45] Positive solutions for a class of p-Laplacian systems with multiple parameters
    Ali, Jaffar
    Shivaji, R.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 335 (02) : 1013 - 1019
  • [46] An existence result on positive solutions for a class of p-Laplacian systems
    Hai, DD
    Shivaji, R
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 56 (07) : 1007 - 1010
  • [47] Periodic Solutions to an Evolution p-Laplacian System
    Ying Jie WEIWen Jie GAO Institute of Mathematics
    Journal of Mathematical Research with Applications, 2010, (03) : 390 - 398
  • [48] Periodic solutions of p-Laplacian equations with singularities
    Shipin Lu
    Tao Zhong
    Yajing Gao
    Advances in Difference Equations, 2016
  • [49] Periodic solutions of p-Laplacian equations with singularities
    Lu, Shipin
    Zhong, Tao
    Gao, Yajing
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [50] PERIODIC SOLUTIONS TO DUFFING TYPE p-LAPLACIAN EQUATION WITH SEVERAL p-LAPLACIAN OPERATORS
    Zongfu Zhou
    Li Zeng
    Baorui Jia
    Jianzhong Xu
    Annals of Applied Mathematics, 2013, 29 (01) : 121 - 126