APPLICATION OF LIAPUNOV'S FUNCTIONS FOR STUDYING THE BOUNDEDNESS OF SOLUTIONS OF SYSTEMS WITH IMPULSES

DOI10.1108/eb010016zbMath0638.34044OpenAlexW2044508472MaRDI QIDQ3779054

D. D. Bainov, Snezhana G. Hristova

Publication date: 1986

Published in: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/eb010016

zbMATH Keywords

uniquenessboundednesscontinuation of solutionsfirst order differential equationsystems with impulses

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (7)

Application of lyapunov's direct method to the investigation of the global stability of the solutions of systems with impulse effect ⋮ Global stability of sets for impulsive differential systems by Lyapunov's direct method ⋮ On the global stability of sets for impulsive differential systems by Lyapunov's direct method ⋮ Global stability of sets for systems with impulses ⋮ Caputo fractional differential equations with non-instantaneous impulses and strict stability by Lyapunov functions ⋮ Razumikhin technique for boundedness of the solutions of impulsive integrodifferential equations. ⋮ Second method of Lyapunov and comparison principle for systems with impulse effect

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