An analog to Kamenkov's critical stability case for nonstationary systems of impulsive differential equations

DOI10.1007/S10958-012-1109-4zbMath1271.34012OpenAlexW2029219690MaRDI QIDQ1945776

Aleksandr I. Dvirny, Vitalii I. Slyn'ko

Publication date: 9 April 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-1109-4

zbMATH Keywords

Lyapunov functionimpulsive differential equationsKamenkov's critical casestability by Lyapunov

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

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• Stability of solutions to impulsive differential equations in critical cases
• Asymptotic stability and instability of the solutions of systems with impulse action
• On the stability of invariant sets of systems with impulse effect
• Advanced synergetics. Instability hierarchies of self-organizing systems and devices
• On the stability of periodic impulsive systems
• Some modern aspects of the theory of impulsive differential equations

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