A new comparison principle for impulsive differential systems with variable impulsive perturbations and stability theory

DOI10.1016/j.camwa.2006.09.015zbMath1155.34346OpenAlexW2009212719MaRDI QIDQ1005810

Lin Wang, Xilin Fu

Publication date: 10 March 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.09.015

zbMATH Keywords

stabilityLyapunov functioncomparison principleimpulsive differential systemsvariable impulsive perturbations

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Growth, boundedness, comparison of solutions to functional-differential equations (34K12)

Related Items

Stability criteria in terms of two measures for functional differential equation with variable‐time impulses, The dynamical behaviors of a Ivlev-type two-prey two-predator system with impulsive effect, Anti-periodic solutions for state-dependent impulsive recurrent neural networks with time-varying and continuously distributed delays, New results on pulse phenomena for impulsive differential systems with variable moments, Uniform stability of impulsive infinite delay differential equations with applications to systems with integral impulsive conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniform boundedness and stability criteria in terms of two measures for impulsive integro-differential equations
• Boundedness for impulsive delay differential equations and applications to population growth models.
• General comparison principle for impulsive variable time differential equations with application
• Eventual practical stability of impulsive differential equations with time delay in terms of two measurements
• Practical stability of impulsive functional differential equations in terms of two measurements
• Comparison principle for impulsive differential equations with variable times and stability theory
• Extremal solutions, comparison principle and stability criteria for impulsive differential equations with variable times
• Vector Lyapunov functions in impulsive variable-time differential systems
• Stability of impulsive delay differential equations with impulses at variable times
• Existence of limit cycles of impulsive differential equations with impulses at variable times