2017
Том 69
№ 9

All Issues

Stochastic Lyapunov Functions for a System of Nonlinear Difference Equations

Dzhalladova I. A.

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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.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 8, pp 1355-1366.

Citation Example: Dzhalladova I. A. Stochastic Lyapunov Functions for a System of Nonlinear Difference Equations // Ukr. Mat. Zh. - 2002. - 54, № 8. - pp. 1126.

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