一类阻尼振动问题的周期解的存在性（英文）  

Existence of Periodic Solutions for a Class of Damped Vibration Problems

作　　者：陈梦茜 王智勇[1] CHEN Mengxi;WANG Zhiyong(School of Mathematics and Satistics,Nanjing University of Information Science and Technology,Nanjing 210044,China)

机构地区：[1]南京信息工程大学数学与统计学院

出　　处：《应用数学》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)

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.

关 键 词：极大极小方法 超二次 渐进二次 周期解 

分 类 号：O175.12[理学—数学]