摘要
通过用Manasevich-Mawhin连续定理,证明了一类奇性Duffing方程周期解的存在性和唯一性,给出了新的结论并改进了已有的一些结论.
By using Manasevich-Mawhin continuation theorem and some analysis skill, we establish some sufficient condition for existence of positive T-periodic solutions for a kind of damped Duffing equation with singularity. The results of this paper are new and they complement previous known results.
作者
姚绍文
程志波
Yao Shaowen;Cheng Zhibo(School of Mathematics and Information Science,Henan Polytechnic University,Henan Jiaozuo 45400)
出处
《数学物理学报(A辑)》
CSCD
北大核心
2018年第3期543-548,共6页
Acta Mathematica Scientia
基金
国家自然科学基金(71601072
11501170)~~