Multiple periodic solutions of a second-order partial difference equation involving p-Laplacian

被引：2
|
作者：
Long, Yuhua [1 ,2 ]
Li, Dan [1 ,2 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
[2] Guangzhou Univ, Ctr Appl Math, Guangzhou 510006, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2023年 / 69卷 / 04期
关键词：
Mountain pass lemma; Linking theorem; Partial difference equation; Multiple periodic solutions; P-Laplacian; SUBHARMONIC SOLUTIONS; EXISTENCE;
D O I：
10.1007/s12190-023-01891-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a second-order partial difference equation involving p-Laplacian. We establish series of criteria to study multiple nontrivial periodic solutions by Mountain Pass Lemma and Linking Theorem. Our results generalize and improve some known results. Moreover, examples and numerical simulations are presented to illustrate applications of our results.
引用
收藏
页码：3489 / 3508
页数：20
相关论文
共 50 条
  • [31] Periodic Solutions for Second Order Equations with the Scalar p-Laplacian and Nonsmooth Potential
    Papageorgiou, Nikolaos S.
    Yannakakis, Nikolaos
    FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2004, 47 (01): : 107 - 117
  • [32] An adaptive second-order partial differential equation based on TV equation and p-Laplacian equation for image denoising
    Zhang, Xiaojuan
    Ye, Wanzhou
    MULTIMEDIA TOOLS AND APPLICATIONS, 2019, 78 (13) : 18095 - 18112
  • [33] Periodic Solutions for a Higher-order p-Laplacian Neutral Differential Equation with Multiple Deviating Arguments
    Moutaouekkil, Loubna
    Chakrone, Omar
    El Allali, Zakaria
    Taarabti, Said
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41
  • [34] Multiple Fast Homoclinic Solutions for a Class of Second-Order Differential Systems with p-Laplacian
    Selmi, Wafa
    UKRAINIAN MATHEMATICAL JOURNAL, 2025, 76 (09) : 1559 - 1571
  • [35] EXISTENCE OF PERIODIC SOLUTIONS FOR 2nTH-ORDER NONLINEAR p-LAPLACIAN DIFFERENCE EQUATIONS
    Shi, Haiping
    Liu, Xia
    Zhang, Yuanbiao
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2016, 46 (05) : 1679 - 1699
  • [36] Infinitely many homoclinic solutions for the second-order discrete p-Laplacian systems
    Chen, Peng
    Tang, X. H.
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2013, 20 (02) : 193 - 212
  • [37] Multiple periodic solutions of nonautonomous second-order differential systems with (q, p)-Laplacian and partially periodic potentials
    Hu, Zhihua
    Jiang, Qin
    Ma, Sheng
    Pasca, Daniel
    MATHEMATICA SLOVACA, 2023, 73 (01) : 89 - 102
  • [38] Infinitely Many Solutions for Partial Discrete Kirchhoff Type Problems Involving p-Laplacian
    Xiong, Feng
    MATHEMATICS, 2023, 11 (15)
  • [39] Periodic and subharmonic solutions for 2nth-order p-Laplacian difference equations
    Liu, X.
    Zhang, Y.
    Shi, H.
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2014, 49 (05): : 223 - 231
  • [40] Homoclinic Orbits for Second Order Nonlinear p-Laplacian Difference Equations
    Deng, X.
    Liu, X.
    Shi, H.
    Zhou, T.
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2011, 46 (03): : 172 - 182
12345