Second method of Lyapunov and comparison principle for impulsive differential-difference equations

被引：7

作者：

Bainov, DD ^{[1
]}

Stamova, IM ^{[1
]}

机构：

[1] TECH UNIV,SLIVEN,BULGARIA

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS | 1997年 / 38卷

关键词：

D O I：

10.1017/S0334270000000825

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper questions related to stability and boundedness with respect to manifolds of solutions of impulsive differential-difference equations are considered. The investigations are carried out by means of piecewise-continuous functions which are analogues of the classical Lyapunov's functions. By means of a vectorial comparison equation and differential inequalities for piecewise-continuous functions, theorems are proved on stability and boundedness with respect to manifolds of solutions of impulsive differential-difference equations with impulse effect at fixed moments.

引用

页码：489 / 505

页数：17

共 50 条

[1] Second method of Lyapunov and existence of integral manifolds for impulsive differential-difference equations
Stamov, GT
Stamova, IM
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 258 (02) : 371 - 379
[2] Vector Lyapunov functions and conditional stability for systems of impulsive differential-difference equations
Bainov, DD
Stamova, IM
[J]. ANZIAM JOURNAL, 2001, 42 : 341 - 353
[3] Oscillation of the bounded solutions of impulsive differential-difference equations of second order
Bainov, DD
Dimitrova, MB
Dishliev, AB
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2000, 114 (01) : 61 - 68
[4] Stability of the zero solution of impulsive differential equations by the Lyapunov second method
Akhmetov, MU
Zafer, A
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 248 (01) : 69 - 82
[5] Lipschitz quasistability of impulsive differential-difference equations with variable impulsive perturbations
Bainov, DD
Dishliev, AB
Stamova, IM
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1996, 70 (02) : 267 - 277
[6] Global stability of the solutions of impulsive differential-difference equations with variable impulsive perturbations
Bainov, DD
Stamova, IM
[J]. COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 1997, 16 (01) : 3 - &
[7] Integral manifolds for uncertain impulsive differential-difference equations with variable impulsive perturbations
Stamov, Gani Tr.
Stamova, Ivanka M.
[J]. CHAOS SOLITONS & FRACTALS, 2014, 65 : 90 - 96
[8] Oscillation of solutions of impulsive nonlinear parabolic differential-difference equations
Bainov, D
Minchev, E
[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1996, 35 (01) : 207 - 215
[9] Periodic boundary value problems for impulsive differential-difference equations
Li, JL
Shen, JH
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2004, 35 (11): : 1265 - 1277
[10] The Second Boundary Value Problem for Differential-Difference Equations
A. L. Skubachevskii
N. O. Ivanov
[J]. Doklady Mathematics, 2021, 104 : 282 - 284

← 1 2 3 4 5 →