An analog to Kamenkov's critical stability case for nonstationary systems of impulsive differential equations
type: Item
instance of: scholarly article
title: An analog to Kamenkov's critical stability case for nonstationary systems of impulsive differential equations
zbMATH Open document ID: 1271.34012
author: A. I. Dvirny
author: V. I. Slyn'ko
published in: Journal of Mathematical Sciences (New York)
publication date: 2013-04-09T00:00:00Z
review text: This paper considers the stability of nonlinear nonautonomous differential equations with impulsive effects in critical cases. The result is based on the direct method of Lyapunov using piecewise differentiable functions. An example is given to illustrate the obtained result.
reviewed by: Xiaodi Li
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 6152301
zbMATH Keywords: Kamenkov's critical case
zbMATH Keywords: stability by Lyapunov
zbMATH Keywords: impulsive differential equations
zbMATH Keywords: Lyapunov function
MaRDI profile type: Publication
full work available at URL: s10958-012-1109-4
OpenAlex ID: W2029219690
cites work: Stability of solutions to impulsive differential equations in critical cases
cites work: On the stability of periodic impulsive systems
cites work: Advanced synergetics. Instability hierarchies of self-organizing systems and devices
cites work: On the stability of invariant sets of systems with impulse effect
cites work: Asymptotic stability and instability of the solutions of systems with impulse action
cites work: Stability of critical equilibrium states.
cites work: Q3995625
cites work: Q5801898
cites work: Q5509213
cites work: Q4186673
cites work: Some modern aspects of the theory of impulsive differential equations
cites work: Q4853771
DOI: 10.1007/S10958-012-1109-4
description: scientific article; zbMATH DE number 6152301