Homoclinic solutions of discrete p-Laplacian equations containing both advance and retardation

被引：1

作者：

Mei, Peng ^{[1
,2
]}

Zhou, Zhan ^{[1
,2
]}

Chen, Yuming ^{[3
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China

[2] Guangzhou Univ, Guangzhou Ctr Appl Math, Guangzhou 510006, Peoples R China

[3] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada

来源：

ELECTRONIC RESEARCH ARCHIVE | 2022年 / 30卷 / 06期

基金：

中国国家自然科学基金;

关键词：

homoclinic solution; p; -Laplacian; mixed nonlinearity; critical point theory; SUBHARMONIC SOLUTIONS; DIFFERENCE-EQUATIONS; EXISTENCE; SYSTEMS; ORBITS;

D O I：

10.3934/era.2022112

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a 2mth-order nonlinear p-Laplacian difference equation containing both advance and retardation. Using the critical point theory, we establish some new and weaker criteria on the existence of homoclinic solutions with mixed nonlinearities.

引用

页码：2205 / 2219

页数：15

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