Almost Periodic Solutions by the Harmonic Balance Method | |
Chu, Ji-feng2; Zheng, Zuo-huan1,3,4; Zhou, Zhe1,3 | |
刊名 | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
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2022-10-01 | |
卷号 | 38期号:4页码:943-954 |
关键词 | almost periodic solution Harmonic balance method exponential dichotomy |
ISSN号 | 0168-9673 |
DOI | 10.1007/s10255-022-1026-3 |
英文摘要 | 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. |
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 |
语种 | 英语 |
出版者 | SPRINGER HEIDELBERG |
WOS记录号 | WOS:000870252400013 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60792] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Zhou, Zhe |
作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, 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. |
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