Reduction theorems in the problem of stability of the critical equilibria of impulsive differential equations

DOI10.1007/s10958-014-2145-zzbMath1317.34073OpenAlexW2017974782MaRDI QIDQ2258299

Aleksandr I. Dvirny, Vitalii I. Slyn'ko

Publication date: 3 March 2015

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

Full work available at URL: https://doi.org/10.1007/s10958-014-2145-z

zbMATH Keywords

Lyapunov function

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20)

Cites Work

• On stability of solutions of nonlinear nonstationary systems of impulsive differential equations in a critical case
• Stability of solutions to impulsive differential equations in critical cases
• A reduction principle for systems of differential equations that have impulses
• On the stability in the critical case of a zero root for systems with time lag
• On the reduction principle in critical cases of stability of the motion of time-lag systems
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