一类奇性φ-Laplacian Rayleigh型方程周期解的存在性  

Existence of Periodic Solutions forϕ-Laplacian Rayleigh Equations with a Singularity

作　　者：钱玉婷 周学良 程志波[1,2] Qian Yuting;Zhou Xueliang;Cheng Zhibo(School of Mathematics and Information Science,Henan Polytechnic University,Henan Jiaozuo 454003;Department of Public Education,Xinjiang Industrial Vocational and Technical College,Urumqi 830022)

机构地区：[1]河南理工大学数学与信息科学学院,河南焦作454003 [2]新疆工业职业技术学院公共教学部,乌鲁木齐830022

出　　处：《数学物理学报（A辑）》2024年第4期896-906,共11页Acta Mathematica Scientia

基　　金：河南省高校科技创新人才项目(21HASTIT025);河南省自然科学基金(222300420449)。

摘　　要：该文考虑了一类φ-Laplacian Rayleigh型方程,其中非线性项在原点有奇性并且是非自治的.通过应用Mawhin连续定理和一些分析方法,证明了该方程在强排斥型奇性或强弱吸引型奇性条件下周期解的存在性.In this paper,we consider a class ofϕ-Laplacian Rayleigh equation,where the nonlinear term is non-autonomous and has a singularity at the origin.By applications of Mawhin's continuation theorem and some analysis methods,we prove the existence of periodic solutions to the equation with a strong singularity of repulsive type(or weak and strong singularities of attractive type).

关 键 词：奇性 RAYLEIGH方程 φ-Laplacian算子 周期解 

分 类 号：O175.1[理学—数学]