Stability of nontrivial solution of delay differential equations with state-dependent impulses

被引：17

作者：

Liu, XZ ^{[1
]}

Wang, Q ^{[1
]}

机构：

[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 174卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

stability; quasi-stability; impulsive differential equation; reduced system;

D O I：

10.1016/j.amc.2005.03.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the stability problem of nontrivial Solutions of delay differential equations with state-dependent impulses. By using the concepts of reduced system and quasi-stability, the stability problem of a nontrivial solution of the impulsive delay differential equation with state-dependent impulses is converted to that of the trivial solution of the impulsive delay differential equation with fixed impulses. Several stability criteria are then established utilizing the known results for systems with fixed impulses. (c) 2005 Published by Elsevier Inc.

引用

页码：271 / 288

页数：18

共 50 条

[41] A new approach to BVPs with state-dependent impulses
Irena Rachůnková
Jan Tomeček
Boundary Value Problems, 2013
[42] On Periodic Solutions of Delay Differential Equations with Impulses
Bachar, Mostafa
SYMMETRY-BASEL, 2019, 11 (04):
[43] Stability Caused by Impulses for Delay Difierential Equations
Yu Jianshe (Department of Applied Mathematics
Acta Mathematica Sinica,English Series, 1997, (02) : 193 - 198
[44] Stability Analysis of Stochastic Delayed Differential Systems with State-Dependent-Delay Impulses: Application of Neural Networks
Zhang, Wei
Huang, Junjian
COGNITIVE COMPUTATION, 2022, 14 (02) : 805 - 813
[45] More on Linearized Stability for Neutral Equations with State-Dependent Delays
Walther H.-O.
Differential Equations and Dynamical Systems, 2011, 19 (4) : 315 - 333
[46] Stability Analysis of Stochastic Delayed Differential Systems with State-Dependent-Delay Impulses: Application of Neural Networks
Wei Zhang
Junjian Huang
Cognitive Computation, 2022, 14 : 805 - 813
[47] Time and State Dependent Neural Delay Differential Equations
Monsel, Thibault
Semeraro, Onofrio
Mathelin, Lionel
Charpiat, Guillaume
1ST ECAI WORKSHOP ON MACHINE LEARNING MEETS DIFFERENTIAL EQUATIONS: FROM THEORY TO APPLICATIONS, 2024, 255
[48] Singular Hopf bifurcation in a differential equation with large state-dependent delay
Kozyreff, G.
Erneux, T.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2014, 470 (2162):
[49] Dynamics of second order in time evolution equations with state-dependent delay
Chueshov, Igor
Rezounenko, Alexander
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 123-124 : 126 - 149
[50] A differential equation with state-dependent delay from cell population biology
Getto, Philipp
Waurick, Marcus
JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (07) : 6176 - 6200

← 1 2 3 4 5 →