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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2013 Volume 54, Number 5, Pages 1023–1037 (Mi smj2475)
Asymptotic stability and estimates for the attraction domains of monotone difference systems

R. I. Kozlov

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia

Abstract: We generalize asymptotic stability criteria and estimates for attraction domains in the nonnegative cone for systems of autonomous difference equations with monotone discontinuous right-hand side.

Keywords: difference equations, monotonicity, stability, attraction domain, estimates.

UDC: 517.962.24

Received: 06.09.2012


 English version: Siberian Mathematical Journal, 2013, 54:5, 817–828

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© Steklov Math. Inst. of RAS, 2025