Periodic solutions for a class of second-order discrete system with variable exponent

ZHANG Shengui

doi:10.13471/j.cnki.acta.snus.2020A053

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Periodic solutions for a class of second-order discrete system with variable exponent

Research articles | 更新时间：2023-11-01

- Periodic solutions for a class of second-order discrete system with variable exponent
- Acta Scientiarum Naturalium Universitatis Sunyatseni Vol. 61, Issue 2, Pages: 163-170(2022)
- 作者机构：
  
  西北民族大学数学与计算机科学学院，甘肃兰州 730030
- 作者简介：
- 基金信息：
- DOI：10.13471/j.cnki.acta.snus.2020A053
  CLC： O175.12
- Published：25 March 2022，
  
  Published Online：02 June 2021，
  
  Received：11 September 2020，
  
  Accepted：17 December 2020
扫描看全文
张申贵.一类变指数离散二阶系统的周期解[J].中山大学学报(自然科学版),2022,61(02):163-170.

ZHANG Shengui.Periodic solutions for a class of second-order discrete system with variable exponent[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2022,61(02):163-170.
张申贵.一类变指数离散二阶系统的周期解[J].中山大学学报(自然科学版),2022,61(02):163-170. DOI： 10.13471/j.cnki.acta.snus.2020A053.

ZHANG Shengui.Periodic solutions for a class of second-order discrete system with variable exponent[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2022,61(02):163-170. DOI： 10.13471/j.cnki.acta.snus.2020A053.

摘要

研究变指数基尔霍夫型离散二阶系统周期解的存在性，运用临界点理论中的极小作用原理和鞍点定理，获得了周期解的存在性结果。

Abstract

The existence for periodic solution of Kirchhoff-type second-order discrete system with variable exponent is studied. Some results for existence of periodic solutions are obtained by using the least action principle and the saddle point theorem in critical point theory.

关键词

周期解离散p（k）-Laplace算子变指数基尔霍夫问题

Keywords

periodic solutiondiscrete p（k）-Laplacian operatorvariable exponentKirchhoff problem

references

GUO Z M， YU J S. The existence of periodic and subharmonic solutions of subquadratic second order difference equations ［J］. J London Math Soc， 2003， 68（2）： 419-430.

XUE Y F， TANG C L. Existence of a periodic solution for subquadrac second-order discrete Hamiltonian systems ［J］. Nonlinear Anal Theory Methods Appl， 2007， 67： 2072-2080.

MAWHIN J. Periodic solutions of second order nonlinear difference systems with <math id="M340"><mi>ϕ</mi></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49469138&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49469136&type=2.032000062.87866688-Laplacian： a variational approach ［J］. Nonlinear Anal Theory Methods Appl， 2012， 75（1）： 4672-4687.

YAN S H， WU X P， TANG C L. Multiple periodic solutions for second-order discrete Hamiltonian systems ［J］. Appl Math Comput， 2014， 234： 142-149.

JIANG Q， MA S， HU Z H. Existence of multiple periodic solutions for second-order discrete Hamiltonian systems with partially periodic potentials ［J］. Electron J Differ Equ， 2016， 307： 1-15.

WANG D B， GUO M. Multiple periodic solutions for second-order discrete Hamiltonian systems ［J］. J Nonlinear Sci Appl， 2017， 10： 410-418.

连福云，徐远通. 一类二阶非线性差分方程边值问题的多重解［J］. 中山大学学报（自然科学版）， 2010， 49（5）： 30-33.

王金华，向红军，赵育林. 一类非线性分数阶差分方程边值问题解的存在性及Ulam稳定性［J］. 中山大学学报（自然科学版）， 2016， 55（2）： 1-6.

ZHIKOV V. On some variational problems ［J］. Russ J Math Phys， 1997， 5（1）： 105-116.

RUZICKA M. Electrorheologial fluids： modeling and mathematical theory ［M］. Berlin： Springer-Verlag， 2000.

BEREANU C， JEBELEAN P， SERBAN C. Periodic and Neumann problems for discrete p（<math id="M341"><mo>⋅</mo></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49469155&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=49469153&type=0.423333352.28600001）-Laplacian ［J］. J Math Anal Appl， 2013， 399（1）： 75-87.

ZHANG S G. Periodic solutions for discrete p（k）-Laplacian systems with partially periodic potential ［J］. Adv Differ Equ，2018， 242： 1-15.

MAWHIN J， WILLEM M. Critical point theory and Hamiltonian systems ［M］. New York： Springer-Verlag， 1989.

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