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.
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页码：3489 / 3508
页数：20
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