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Stochastic Lyapunov Functions for a System of Nonlinear Difference Equations

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Ukrainian Mathematical Journal Aims and scope

Abstract

We study problems related to the stability of solutions of nonlinear difference equations with random perturbations of semi-Markov type. We construct Lyapunov functions for different classes of nonlinear difference equations with semi-Markov right-hand side and establish conditions for their existence.

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Authors and Affiliations

  1. Kiev National Economic University, Kiev

    I. A. Dzhalladova

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  1. I. A. Dzhalladova
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Dzhalladova, I.A. Stochastic Lyapunov Functions for a System of Nonlinear Difference Equations. Ukrainian Mathematical Journal 54, 1355–1366 (2002). https://doi.org/10.1023/A:1023487708545

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  • DOI: https://doi.org/10.1023/A:1023487708545

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