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Study of a stochastic model of the“dangling spider” problem with an infinite previous history and poisson switchings
Authors:I. V. Yasinskii  V. K. Yasinskii
Affiliation:(1) Bukovinskii Institute of Mathematics, Chernivtsi, Ukraine;(2) Yu. Fed’kovych State University, Chernivtsi, Ukraine
Abstract:To study the stability of the stochastic“dangling spider” model, the second Lyapunov method is substantiated for stochastic functional differential equations with the entire previous history. Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 79–105, July–August, 2000.
Keywords:stochastic model    dangling spider”   problem  second Lyapunov method  stochastic differential functional equations
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