摘要
本文利用六阶变系数线性微分方程的Green函数的性质和Schauder不动点定理,证明一类六阶奇性微分方程周期正解的存在性.我们的结论包含吸引型奇性和排斥型奇性两种情形.
In this paper,the existence of positive periodic solutions for a sixthorder singular differential equation is proved by the properties of Green function of a sixthorder linear differential equation with variable coefficient coupled with the Schauder fixed point theorem.Our results contain both the attractive singularity case and the repulsive singularity case.
作者
刘杰
李盼盼
程志波
景太艳
Liu Jie;Li Panpan;Cheng Zhibo;Jing Taiyan(School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454000,China)
出处
《数学理论与应用》
2023年第1期100-114,共15页
Mathematical Theory and Applications
基金
partially supported by Technological Innovation Talents in Universities and Colleges in Henan Province(No.21HASTIT025)
Natural Science Foundation of Henan Province(Nos.222300420449,222300420171)
Key Research Funds for the Universities of Henan Province(No.21A120005)
Innovative Research Team of Henan Polytechnic University(No.T20227)
Fundamental Research Funds for the Universities of Henan Provience(No.NSFRF220420)
Foundation for Key Teacher by Henan Polytechnic University(No.2022XQG09)。
关键词
奇性微分方程
GREEN函数
周期正解
Singular differential equation
Green function
Positive periodic solution
