LYAPUNOV-RAZUMIKHIN METHOD FOR ASYMPTOTIC STABILITY OF SETS FOR IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Stamova, Ivanka M. ^{[1
]}

Stamov, Gani T. ^{[2
]}

机构：

[1] Bourgas Free Univ, Dept Math, Burgas 8000, Bulgaria

[2] Tech Univ Sliven, Dept Math, Sliven 8800, Bulgaria

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年

关键词：

Global stability of sets; Lyapunov's direct method; impulsive functional differential equations;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we study the global stability of sets of sufficiently general type with respect to impulsive functional differential equations with variable impulsive perturbations. The main results are obtained by means of piecewise continuous Lyapunov functions and the use of the Razumikhin technique.

引用

页数：10

共 50 条

[31] On the asymptotic stability for functional differential equations by Lyapunov functionals
Hatvani, L
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (07) : 4333 - 4343
[32] GENERALISED LYAPUNOV-RAZUMIKHIN TECHNIQUES FOR SCALAR STATE-DEPENDENT DELAY DIFFERENTIAL EQUATIONS
Magpantay, F. M. G.
Humphries, A. R.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (01): : 85 - 104
[33] Global Exponential Stability of Impulsive Functional Differential Equations via Razumikhin Technique
Peng, Shiguo
Yang, Liping
ABSTRACT AND APPLIED ANALYSIS, 2010,
[34] RAZUMIKHIN-TYPE THEOREMS FOR ASYMPTOTIC STABILITY OF IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL SYSTEMS
Cheng, Pei
Deng, Feiqi
Dai, Xisheng
JOURNAL OF SYSTEMS SCIENCE AND SYSTEMS ENGINEERING, 2010, 19 (01) : 72 - 84
[35] RAZUMIKHIN-TYPE THEOREMS FOR ASYMPTOTIC STABILITY OF IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL SYSTEMS
Pei CHENG~1 Feiqi DENG~2 Xisheng DAI~3 Systems Engineering Institute
JournalofSystemsScienceandSystemsEngineering, 2010, 19 (01) : 72 - 84
[36] Razumikhin-type theorems for asymptotic stability of impulsive stochastic functional differential systems
Pei Cheng
Feiqi Deng
Xisheng Dai
Journal of Systems Science and Systems Engineering, 2010, 19 : 72 - 84
[37] Razumikhin-Lyapunov functional method for the stability of impulsive switched systems with time delay
Liu, Yubin
Feng, Weizhen
MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (1-2) : 249 - 264
[38] Qualitative Analyses of Integro-Fractional Differential Equations with Caputo Derivatives and Retardations via the Lyapunov-Razumikhin Method
Tunc, Osman
Atan, Ozkan
Tunc, Cemil
Yao, Jen-Chih
AXIOMS, 2021, 10 (02)
[39] Stability of the solutions of impulsive functional-differential equations by Lyapunov's direct method
Bainov, DD
Stamova, IM
ANZIAM JOURNAL, 2001, 43 : 269 - 278
[40] Razumikhin-type theorem for pth exponential stability of impulsive stochastic functional differential equations based on vector Lyapunov function
Cao, Wenping
Zhu, Quanxin
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2021, 39

← 1 2 3 4 5 →