Infinitely many homoclinic solutions for a class of nonlinear difference equations

被引：0
|
作者：
Chen, Peng [1 ]
Wang, Zhengmei [2 ]
机构：
[1] China Three Gorges Univ, Sch Sci, Yichang 443002, Hubei, Peoples R China
[2] Wuhan Univ Technol, Sch Transport, Wuhan 438000, Hubei, Peoples R China
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2012年 / 47期
关键词：
Homoclinic solutions; Difference equation; Symmetric Mountain Pass Theorem; PERIODIC-SOLUTIONS; SUBHARMONIC SOLUTIONS; HAMILTONIAN-SYSTEMS; POSITIVE SOLUTIONS; 2ND-ORDER; EXISTENCE; ORBITS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using the Symmetric Mountain Pass Theorem, we establish some existence criteria to guarantee a class of nonlinear difference equation has infinitely many homoclinic orbits. Our conditions on the nonlinear term are rather relaxed and we generalize some existing results in the literature.
引用
收藏
页码：1 / 18
页数：18
相关论文
共 50 条
  • [31] INFINITELY MANY POSITIVE SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC EQUATIONS
    Chen, Hong-ge
    Zhang, J. I. A. O. J. I. A. O.
    Zhao, J. I. E.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, : 5909 - 5935
  • [32] Infinitely many solutions for a class of biharmonic equations with indefinite potentials
    Guan, Wen
    Wang, Da-Bin
    Hao, Xinan
    AIMS MATHEMATICS, 2020, 5 (04): : 3634 - 3645
  • [33] Homoclinic solutions of 2nth-order difference equations containing both advance and retardation
    Long, Yuhua
    Zhang, Yuanbiao
    Shi, Haiping
    OPEN MATHEMATICS, 2016, 14 : 520 - 530
  • [34] INFINITELY MANY HOMOCLINIC SOLUTIONS FOR DIFFERENT CLASSES OF FOURTH-ORDER DIFFERENTIAL EQUATIONS
    Timoumi, Mohsen
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2022, 37 (01): : 137 - 161
  • [35] On a class of singular second-order Hamiltonian systems with infinitely many homoclinic solutions
    Costa, David G.
    Tehrani, Hossein
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 412 (01) : 200 - 211
  • [36] INFINITELY MANY SUBHARMONIC SOLUTIONS FOR NONLINEAR EQUATIONS WITH SINGULAR φ-LAPLACIAN
    Sun, Xiying
    Liu, Qihuai
    Qian, Dingbian
    Zhao, Na
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 19 (01) : 279 - 292
  • [37] INFINITELY MANY HOMOCLINIC SOLUTIONS FOR DAMPED VIBRATION PROBLEMS WITH SUBQUADRATIC POTENTIALS
    Zhang, Ziheng
    Yuan, Rong
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2014, 13 (02) : 623 - 634
  • [38] Infinitely many homoclinic solutions for a second-order Hamiltonian system
    Tang, X. H.
    MATHEMATISCHE NACHRICHTEN, 2016, 289 (01) : 116 - 127
  • [39] Infinitely many solutions for a class of second-order damped vibration systems
    Zhang, Xingyong
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2013, (15) : 1 - 18
  • [40] INFINITELY MANY SOLUTIONS FOR A CLASS OF SUBLINEAR SCHRODINGER EQUATIONS
    Chen, Jing
    Tang, X. H.
    TAIWANESE JOURNAL OF MATHEMATICS, 2015, 19 (02): : 381 - 396
12345