On stability of solutions of nonlinear nonstationary systems of impulsive differential equations in a critical case
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Publication:275505
DOI10.1007/S11072-012-0171-7zbMath1334.34038OpenAlexW2029826246MaRDI QIDQ275505
Aleksandr I. Dvirny, Vitalii I. Slyn'ko
Publication date: 26 April 2016
Published in: Nonlinear Oscillations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11072-012-0171-7
Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20)
Related Items (5)
Stability conditions for impulsive dynamical systems ⋮ New conditions for the exponential stability of pseudolinear difference equations in Banach spaces ⋮ Reduction theorems in the problem of stability of the critical equilibria of impulsive differential equations ⋮ On stability of critical equilibrium states of some classes of complex impulsive systems ⋮ Dwell-time stability conditions for infinite dimensional impulsive systems
Cites Work
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- A reduction principle for systems of differential equations that have impulses
- Asymptotic stability and instability of the solutions of systems with impulse action
- On the stability of invariant sets of systems with impulse effect
- On the stability of periodic impulsive systems
- Some modern aspects of the theory of impulsive differential equations
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