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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2008 Volume 49, Number 1, Pages 125–133 (Mi smj1826)
This article is cited in 4 papers

Asymptotic stability and instability with respect to part of variables for solutions to impulsive systems

A. O. Ignatyev

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences

Abstract: We obtain sufficient conditions for asymptotic stability with respect to part of variables for the zero solution to an impulsive system with the fixed moments of impulse effects.

Keywords: impulsive differential equations, stability, Lyapunov function.

UDC: 517.925

Received: 28.07.2006


 English version: Siberian Mathematical Journal, 2008, 49:1, 102–108

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© Steklov Math. Inst. of RAS, 2024