Criteria for quantitative stability for a class of Razumikhin-type retarded functional differential equations

被引：2

作者：

Hou, CH ^{[1
]}

Gao, FR ^{[1
]}

机构：

[1] Hong Kong Univ Sci & Technol, Dept Chem Engn, Clear Water Bay, Kowloon, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1999年 / 238卷 / 02期

关键词：

D O I：

10.1006/jmaa.1999.6540

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The quantitative stability properties and trajectory bound estimates for a class of retarded functional differential equations (RFDEs), which is characterized via Razumikhin-type conditions, are investigated in this paper, resulting in more generalized and improved criteria for RFDEs. (C) 1999 Academic Press.

引用

页码：558 / 566

页数：9

共 50 条

[1] Razumikhin-type exponential stability criteria of neutral stochastic functional differential equations
Jankovic, Svetlana
Randjelovic, Jelena
Jovanovic, Miljana
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 355 (02) : 811 - 820
[2] Razumikhin-Type Stability Criteria for Differential Equations with Delayed Impulses
Wang, Qing
Zhu, Quanxin
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2013, (14) : 1 - 18
[3] ON RAZUMIKHIN-TYPE STABILITY CONDITIONS FOR STOCHASTIC FUNCTIONAL-DIFFERENTIAL EQUATIONS
CHANG, MH
MATHEMATICAL MODELLING, 1984, 5 (05): : 299 - 307
[4] Razumikhin-type theorems on stability of neutral stochastic functional differential equations
Huang, Lirong
Deng, Feiqi
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (07) : 1718 - 1723
[5] Razumikhin-type theorems on exponential stability of stochastic functional differential equations
Mao, XR
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1996, 65 (02) : 233 - 250
[6] Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations
Shen, Y
Liao, XX
CHINESE SCIENCE BULLETIN, 1999, 44 (24): : 2225 - 2228
[7] Razumikhin-type theorems on exponential stability of stochastic functional differential equations on networks
Li, Wenxue
Qi, Xiaohui
Pan, Meng
Wang, Ke
NEUROCOMPUTING, 2014, 131 : 278 - 285
[8] Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations
SHEN Yi and LIAO XiaoxinDepartment of Automatic Control
Chinese Science Bulletin, 1999, (24) : 2225 - 2228
[9] Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations
Mao, XR
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1997, 28 (02) : 389 - 401
[10] RAZUMIKHIN-TYPE THEOREMS OF NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS
Zhou Shaobo
Hu Shigeng
ACTA MATHEMATICA SCIENTIA, 2009, 29 (01) : 181 - 190

← 1 2 3 4 5 →