Almost Periodic Solutions by the Harmonic Balance Method  

作　　者：Ji-feng CHU Zuo-huan ZHENG Zhe ZHOU 

机构地区：[1]Department of Mathematics,Shanghai Normal University,Shanghai 200234,China [2]Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China [3]School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China [4]College of Mathematics and Statistics,Hainan Normal University,Haikou 571158,China

出　　处：《Acta Mathematicae Applicatae Sinica》2022年第4期943-954,共12页应用数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grants No.12071296 and No.11871273);partially supported by the National Natural Science Foundation of China(Grants Nos.12090014,12031020 and 12271509)。

摘　　要：We consider non-autonomous ordinary differential equations in two cases.One is the one-dimensional case that admits a condition of hyperbolicity,and the other one is the higher-dimensional case that admits an exponential dichotomy.For differential equations of this kind,we give a rigorous treatment of the Harmonic Balance Method to look for almost periodic solutions.

关 键 词：almost periodic solution Harmonic balance method exponential dichotomy 

分 类 号：O175[理学—数学]