A. I. Dvirnyj, V. I. Slyn'ko, “Application of Lyapunov's Direct Method to the Study of the Stability of Solutions to Systems of Impulsive Differential Equations”, Mat. Zametki, 2014, Volume 96, Issue 1,Pages <nobr>22

This article is cited in 17 papers

Application of Lyapunov's Direct Method to the Study of the Stability of Solutions to Systems of Impulsive Differential Equations

A. I. Dvirnyj^ab, V. I. Slyn'ko^ab

^a Institute of Mechanics named after S. P. Timoshenko of National Academy of Sciences of Ukraine
^b Hedmark University College, Norway

Abstract: Classical theorems on the stability of the solutions of impulsive differential equations are further developed.

Keywords: impulsive differential equation, Lyapunov's direct method, Lyapunov (asymptotic) stability, Cauchy problem, equilibrium state stability, Hahn function class.

UDC: 517.929.21

Received: 06.12.2010
Revised: 11.01.2013

DOI: 10.4213/mzm9021