Almost Periodic Solutions by the Harmonic Balance Method

doi:10.1007/s10255-022-1026-3

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	Almost Periodic Solutions by the Harmonic Balance Method
	Chu, Ji-feng 1; Zheng, Zuo-huan2,3,4 ; Zhou, Zhe2,3
	2022-10-01
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	38 期号:4 页码:943-954
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
DOI	10.1007/s10255-022-1026-3
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[12090014] ; National Natural Science Foundation of China[12031020] ; National Natural Science Foundation of China[12271509]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000870252400013
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60793
专题	应用数学研究所
通讯作者	Zhou, Zhe
作者单位	1.Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Hainan Normal Univ, Coll Math & Stat, Haikou 571158, Hainan, Peoples R China
推荐引用方式 GB/T 7714	Chu, Ji-feng,Zheng, Zuo-huan,Zhou, Zhe. Almost Periodic Solutions by the Harmonic Balance Method[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2022,38(4):943-954.
APA	Chu, Ji-feng,Zheng, Zuo-huan,&Zhou, Zhe.(2022).Almost Periodic Solutions by the Harmonic Balance Method.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,38(4),943-954.
MLA	Chu, Ji-feng,et al."Almost Periodic Solutions by the Harmonic Balance Method".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 38.4(2022):943-954.