This article is cited in 14 papers

Stability of solutions to impulsive differential equations in critical cases

A. I. Dvirnyĭ^a, V. I. Slyn'ko<sup>b

a</sup> Academy of Fire Secyrity, Cherkassy, Ukraine
^b Institute of Mechanics named after S. P. Timoshenko of National Academy of Sciences of Ukraine, Kiev, Ukraine

Abstract: We propose a new approach to constructing a piecewise differentiable Lyapunov function for some classes of nonlinear nonstationary systems of impulsive differential equations in the critical case. This approach allows us to obtain new sufficient conditions for the Lyapunov stability of solutions to this class of systems.

Keywords: impulsive equation, critical case, Lyapunov stability.

UDC: 517.9

Received: 22.04.2010

 English version: Siberian Mathematical Journal, 2011, 52:1, 54–62

Bibliographic databases:

• 
• 
•