摘要
本文致力于研究一类带阻尼问题周期解的存在性问题.借助于辅助函数,我们得到了一些新的超二次增长和渐进二次增长条件,利用临界点理论中的极大极小方法,获得一些新的存在性结果,推广了已有文献中相关存在性结论.
This paper is dedicated to study the periodic solutions for a class of damped vibration problems.By virtue of auxiliary function,we obtain some kinds of new superquadratic growth and asymptotically quadratic growth conditions.Using the minimax methods in critical point theory,we establish some existence results,which unify and generalize some known results in the literature.
作者
陈梦茜
王智勇
CHEN Mengxi;WANG Zhiyong(School of Mathematics and Satistics,Nanjing University of Information Science and Technology,Nanjing 210044,China)
出处
《应用数学》
CSCD
北大核心
2020年第1期84-90,共7页
Mathematica Applicata
基金
Supported by the National Natural Science Foundation of China(11571176,11701289)
the Jiangsu Province Science Foundation for Youths(BK20170936)
关键词
极大极小方法
超二次
渐进二次
周期解
Minimax method
Asymptotically quadratic
Superquadratic
Periodic solution
