Asymptotic property of a reparable multi-state device

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	Asymptotic property of a reparable multi-state device
	Xu, HB ; Yu, JY ; Zhu, GT
	2005-12-01
发表期刊	QUARTERLY OF APPLIED MATHEMATICS
ISSN	0033-569X
卷号	63 期号:4 页码:779-789
摘要	This paper is devoted to studying the existence, uniqueness and asymptotic stability of a multi-state device's time-dependent solution. C-0 semigroup theory is used to prove the existence of a unique non-negative solution of the device. Moveover, by analyzing the spectrum of the system operator generated by the device, this paper proves that 0 is the unique spectral point on the imaginary axis and the other spectra lie in the left half plane. As a result, the asymptotic behavior of a multi-state device is obtained.
关键词	multi-state device asymptotic stability co-semigroup
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000234314500010
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2082
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, HB
作者单位	1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 2.Beijing Inst Informat & Control, Beijing 100037, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xu, HB,Yu, JY,Zhu, GT. Asymptotic property of a reparable multi-state device[J]. QUARTERLY OF APPLIED MATHEMATICS,2005,63(4):779-789.
APA	Xu, HB,Yu, JY,&Zhu, GT.(2005).Asymptotic property of a reparable multi-state device.QUARTERLY OF APPLIED MATHEMATICS,63(4),779-789.
MLA	Xu, HB,et al."Asymptotic property of a reparable multi-state device".QUARTERLY OF APPLIED MATHEMATICS 63.4(2005):779-789.