Asymptotic property of a reparable multi-state device

Houbao Xu; Jingyuan Yu; Guangtian Zhu

doi:10.1090/S0033-569X-05-00986-0

Asymptotic property of a reparable multi-state device

Houbao Xu^*, Jingyuan Yu, Guangtian Zhu

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

18 引用（Scopus）

摘要

This paper is devoted to studying the existence, uniqueness and asymptotic stability of a multi-state device's time-dependent solution. C₀ 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.

源语言	英语
页（从-至）	779-789
页数	11
期刊	Quarterly of Applied Mathematics
卷	63
期	4
DOI	https://doi.org/10.1090/S0033-569X-05-00986-0
出版状态	已出版 - 12月 2005

访问文件

10.1090/S0033-569X-05-00986-0

其它文件与链接

链接到 Scopus 的出版物

引用此

Xu, H., Yu, J., & Zhu, G. (2005). Asymptotic property of a reparable multi-state device. Quarterly of Applied Mathematics, 63(4), 779-789. https://doi.org/10.1090/S0033-569X-05-00986-0

@article{d6b1a69c79eb47569799fdc7c1a27c14,

title = "Asymptotic property of a reparable multi-state device",

abstract = "This paper is devoted to studying the existence, uniqueness and asymptotic stability of a multi-state device's time-dependent solution. C0 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.",

keywords = "Asymptotic stability, C-semigroup, Multi-state device",

author = "Houbao Xu and Jingyuan Yu and Guangtian Zhu",

year = "2005",

month = dec,

doi = "10.1090/S0033-569X-05-00986-0",

language = "English",

volume = "63",

pages = "779--789",

journal = "Quarterly of Applied Mathematics",

issn = "0033-569X",

publisher = "American Mathematical Society",

number = "4",

}

TY - JOUR

T1 - Asymptotic property of a reparable multi-state device

AU - Xu, Houbao

AU - Yu, Jingyuan

AU - Zhu, Guangtian

PY - 2005/12

Y1 - 2005/12

N2 - This paper is devoted to studying the existence, uniqueness and asymptotic stability of a multi-state device's time-dependent solution. C0 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.

AB - This paper is devoted to studying the existence, uniqueness and asymptotic stability of a multi-state device's time-dependent solution. C0 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.

KW - Asymptotic stability

KW - C-semigroup

KW - Multi-state device

UR - http://www.scopus.com/inward/record.url?scp=32644437827&partnerID=8YFLogxK

U2 - 10.1090/S0033-569X-05-00986-0

DO - 10.1090/S0033-569X-05-00986-0

M3 - Article

AN - SCOPUS:32644437827

SN - 0033-569X

VL - 63

SP - 779

EP - 789

JO - Quarterly of Applied Mathematics

JF - Quarterly of Applied Mathematics

IS - 4

ER -

Asymptotic property of a reparable multi-state device

摘要

访问文件

其它文件与链接

指纹

引用此