具有偏差变元的四阶p-Laplacian方程周期解的存在性  

Existence of Periodic Solutions for Four-Order p-Laplacian Equation with Deviating Argument

作　　者：陈仕洲 CHEN Shi-zhou(College of Mathematics and Statistics,Hanshan Normal University,Chaozhou,Guangdong,521041)

机构地区：[1]韩山师范学院数学与统计学院,广东潮州521041

出　　处：《韩山师范学院学报》2018年第3期1-8,共8页Journal of Hanshan Normal University

基　　金：广东省高等学校教学团队建设项目(项目编号:粤教高函【2015】133号)

摘　　要：应用重合度理论和一些分析技巧,研究了一类四阶p-Laplacian中立型微分方程,获得其周期解存在性新的充分条件,推广和改进了已有文献中的相关结论.By application of coincidence degree theory and some analysis skills,we consider a p-Lapla?cian Rayleigh neutral differential equation with variable parameters.Some new sufficient conditions for the ex?istence of periodic solutions are obtained.The results have extended and improved the related reports in the literatures.

关 键 词：周期解 Rayleigh型p-Laplacian方程 中立型算子 重合度 

分 类 号：O175.12[理学—数学]