Application of lyapunov's direct method to the investigation of the global stability of the solutions of systems with impulse effect

DOI10.1080/00036818808839713zbMath0634.34040OpenAlexW2080383072WikidataQ58159997 ScholiaQ58159997MaRDI QIDQ3772561

D. D. Bainov, Georgi Kulev

Publication date: 1988

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818808839713

zbMATH Keywords

Lyapunov's functionssystems with impulses

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items

Uniform asymptotic stability of impulsive differential-difference equations of neutral type by Lyapunov's direct method ⋮ Stability of linear impulsive differential equations ⋮ Numerical methods for impulsive differential equation ⋮ Stability of linear impulsive differential equations ⋮ Uniform asymptotic stability in impulsive perturbed systems of differential equations ⋮ The analytic and numerical stability of stiff impulsive differential equations in Banach space ⋮ Stability of the solutions of impulsive integro-differential equations in terms of two measures ⋮ Stability of the solutions of impulsive integro-differential equations in terms of two measures ⋮ Second method of Lyapunov and comparison principle for systems with impulse effect

Cites Work

• Stability of measure differential equations
• Sufficient conditions for absence of ”beating” in systems of differential equations with impulses
• APPLICATION OF LIAPUNOV'S FUNCTIONS FOR STUDYING THE BOUNDEDNESS OF SOLUTIONS OF SYSTEMS WITH IMPULSES
• Stability of impulsively perturbed systems
• Stability of differential systems with impulsive perturbations in terms of two measures