二阶p-拉普拉斯阻尼差分方程的快速同宿解  

On Fast Homoclinic Solutions for a Second Order p-Laplacian Damped Difference Dquation

作　　者：蒋鼎宏 柏传志[2] JIANG Ding-hong;BAI Chuan-zhi(Huaiyin High School in Jiangsu Province,Huaian Jiangsu 223002,China;Department of Mathematics,Huaiyin Normal University,Huaian Jiangsu 223300,China)

机构地区：[1]江苏省淮阴中学,江苏淮安223002 [2]淮阴师范学院数学与统计学院,江苏淮安223300

出　　处：《淮阴师范学院学报（自然科学版）》2021年第4期296-301,共6页Journal of Huaiyin Teachers College;Natural Science Edition

基　　金：国家自然科学基金资助项目(11571136)。

摘　　要：基于临界点理论和一些分析技术,应用变分方法和山路定理研究了一类二阶阻尼p-拉普拉斯差分方程快速同宿解的存在性和多解性,推广了已获得的结果.In this paper,we investigated the existence and multiplicity of fast homoclinic solutions for a class of damped second order p-Laplacian difference equation.The proofs of our results were based critical point theory and some analysis technique.Some known results in the literature are extended.

关 键 词：同宿解 快速解 p-拉普拉斯差分方程 变分法 

分 类 号：O175.1[理学—数学]