Stochastic Lyapunov Functions for a System of Nonlinear Difference Equations

• Дата: 2002
• Автори: Dzhalladova, I. A., Джалладова, И. А.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2002
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4151
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 existen...