A class of ergodic solutions of nonlinear differential equations and numerical treatment

	A class of ergodic solutions of nonlinear differential equations and numerical treatment
	Agarwal, RP ; Hong, JL; Liu, Y
	2000-08-01
发表期刊	MATHEMATICAL AND COMPUTER MODELLING
ISSN	0895-7177
卷号	32 期号:3-4 页码:493-506
摘要	In this paper, we give existence theorems of a class of ergodic solutions, pseudo almost-periodic solutions, for nonlinear differential equations. Based on these, a useful numerical method of such kind of solutions for nonlinear differential equations is established. A numerical example of the ergodic type nonlinear oscillation equation is illustrated by both the symplectic scheme and the method of computing initial value for the pseudo almost-periodic solution. (C) 2000 Elsevier Science Ltd. All rights reserved.
关键词	pseudo almost-periodic solutions exponential trichotomy nonlinear differential equations numerical solution of initial value problem
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000088702000013
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15108
专题	计算数学与科学工程计算研究所
通讯作者	Agarwal, RP
作者单位	1.Natl Univ Singapore, Dept Math, Singapore 119260, Singapore 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 3.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
推荐引用方式 GB/T 7714	Agarwal, RP,Hong, JL,Liu, Y. A class of ergodic solutions of nonlinear differential equations and numerical treatment[J]. MATHEMATICAL AND COMPUTER MODELLING,2000,32(3-4):493-506.
APA	Agarwal, RP,Hong, JL,&Liu, Y.(2000).A class of ergodic solutions of nonlinear differential equations and numerical treatment.MATHEMATICAL AND COMPUTER MODELLING,32(3-4),493-506.
MLA	Agarwal, RP,et al."A class of ergodic solutions of nonlinear differential equations and numerical treatment".MATHEMATICAL AND COMPUTER MODELLING 32.3-4(2000):493-506.