Stability and boundedness for impulsive functional differential equations with infinite delays

被引：54

作者：

Luo, ZG ^{[1
]}

Shen, JH ^{[1
]}

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 46卷 / 04期

关键词：

stability; boundedness; impulsive differential equation; Razumikhin technique; Lyapunov functional;

D O I：

10.1016/S0362-546X(00)00123-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An analysis of stability and boundedness for impulsive functional differential equations with infinte delays was presented. The implications of Lyapunov-Razumikhin-type stability and boundedness theorems for functional differential equations with infinite delays extended to impulsive functional differential equations were examined. The analysis used Lyapunov functionals for stability and Lyapunov functions for boundedness.

引用

页码：475 / 493

页数：19

共 50 条

[31] Stability in terms of two measures for impulsive stochastic functional differential systems with infinite delays [J].

Yao, Fengqi ;

Deng, Feiqi ;

Shen, Hao .

PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, :1523-1528

[32] Boundedness and periodicity for impulsive functional differential equations with applications to impulsive delayed Hopfield neural networks [J].

Chen, Guoping ;

Shen, Jianhua .

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2007, 14 (02) :177-187

[33] Stability of impulsive functional differential equations via the Liapunov functional [J].

Luo, Zhiguo ;

Shen, Jianhua .

APPLIED MATHEMATICS LETTERS, 2009, 22 (02) :163-169

[34] Asymptotic stability and boundedness for functional differential equations [J].

T. A. Burton ;

Huang Qichang .

Acta Mathematica Sinica, 1997, 13 (3) :363-372

[35] Asymptotic Stability and Boundedness for Functional Differential Equations [J].

T.A.Burton (Department of Mathematics .

Acta Mathematica Sinica,English Series, 1997, (03) :363-372

[36] BOUNDEDNESS OF SOLUTIONS FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH INTEGRAL JUMP CONDITIONS [J].

Shao, Jing ;

Meng, Fanwei .

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (05) :1575-1585

[37] Strict stability of impulsive functional differential equations [J].

Zhang, Y ;

Sun, JT .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 301 (01) :237-248

[38] On the asymptotic stability for impulsive functional differential equations [J].

Jiang, F. ;

Shen, J. .

ACTA MATHEMATICA HUNGARICA, 2012, 134 (03) :307-321

[39] On the asymptotic stability for impulsive functional differential equations [J].

Fangfang Jiang ;

Jianhua Shen .

Acta Mathematica Hungarica, 2012, 134 :307-321

[40] THE EXISTENCE AND UNIQUENESS AND STABILITY OF ALMOST PERIODIC SOLUTIONS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS [J].

WANG QUANHNYI * .

ChineseAnnalsofMathematics, 1997, (02) :96-105

← 1 2 3 4 5 →