Periodic and subharmonic solutions for a 2nth-order p-Laplacian difference equation containing both advances and retardations-Reference-Cited by-同舟云学术

Periodic and subharmonic solutions for a 2nth-order p-Laplacian difference equation containing both advances and retardations

Published:2018-12-29 Issue:1 Volume:16 Page:1435-1444
ISSN:2391-5455
Container-title:Open Mathematics
language:
Short-container-title:

Author:

Mei Peng¹,Zhou Zhan¹

Affiliation:

1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China

Abstract

AbstractWe consider a 2nth-order nonlinear difference equation containing both many advances and retardations with p-Laplacian. Using the critical point theory, we obtain some new explicit criteria for the existence and multiplicity of periodic and subharmonic solutions. Our results generalize and improve some known related ones.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/downloadpdf/journals/math/16/1/article-p1435.xml

Reference24 articles.

1. On the existence of homoclinic solutions of a class of discrete nonlinear periodic systems;J. Differential Equations,2010

2. On boundary value problems for a discrete generalized Emden-Fowler equation;J. Differential Equations,2006

3. Homoclinic orbits for discrete Hamiltonian systems with local super-quadratic conditions;Comm. Pure Appl. Anal.,2019

4. Existence of periodic and subharmonic solutions for second-order superlinear difference equations;Sci. China Math.,2003

5. Existence of periodic solutions for a 2nth-order nonlinear difference equation;J. Math. Anal. Appl.,2007

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Multiple periodic solutions of a second-order partial difference equation involving p-Laplacian;Journal of Applied Mathematics and Computing;2023-07-03

2. Periodic Solutions with Prescribed Minimal Period for 2 n th-Order Nonlinear Discrete Systems;Discrete Dynamics in Nature and Society;2021-09-06

3. On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator;Advances in Nonlinear Analysis;2021-07-10

4. Multiple Solutions for Boundary Value Problems of p-Laplacian Difference Equations Containing Both Advance and Retardation;Mathematical Problems in Engineering;2020-08-10

5. Boundary Value Problem for a Second-Order Difference Equation with Resonance;Complexity;2020-06-20