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
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 homoclinic orbits for a class of second-order damped differential equations
    Zhang, Chuanfang
    Han, Zhiqing
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (18) : 5048 - 5062
  • [33] 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
  • [34] EXISTENCE OF HOMOCLINIC ORBITS FOR A CLASS OF NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS
    Liu, Xia
    Zhou, Tao
    Shi, Haiping
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
  • [35] 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
  • [36] Infinitely many solutions for a class of semilinear elliptic equations in RN
    Alessio, F
    Caldiroli, P
    Montecchiari, P
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2001, 4B (02): : 311 - 317
  • [37] Infinitely Many Solutions to a Class of p-Laplace Equations
    Deng, Yi-Hua
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2019, 35 (04): : 770 - 779
  • [38] Infinitely many nodal solutions for a class of quasilinear elliptic equations
    Yang, Xiaolong
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021, (32) : 1 - 20
  • [39] EXISTENCE OF INFINITELY MANY HOMOCLINIC SOLUTIONS OF DISCRETE SCHRODINGER EQUATIONS WITH LOCAL SUBLINEAR TERMS
    Lin, Genghong
    Zhou, Zhan
    Yu, Jianshe
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (03): : 964 - 980
  • [40] Homoclinic solutions for a class of fourth-order difference equations
    Shi, Haiping
    Liu, Xia
    Zhang, Yuanbiao
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (10) : 2617 - 2625