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Properties of solutions of dynamical systems of random structure
Vernyhora I. V. 1 , Yasynska L. I. 1 , Yasinsky Volodymyr Kyrylovych 2
1 Chernivtsi National University named after Yuriy Fedkovych, Chernivtsi, 58002, Ukraine
2 Department of Mathematical Modeling, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: dynamical systems, random structure
Abstract

This paper aims to discuss the question of existence properties of Markov of the operator of shift of decisions of the differential-functional equation with Markov type parameters (DFE MP) which are the decision stochastic is investigated the differential-functional equation with Puasson switchings (SDFE PS), so-called dynamic systems casual structures. Stochastic stability of decisions is studied asymptotical linear DFE MP, communication of this stability with exponential р-stability in the linear stationary case, necessary and sufficient conditions exponential р-stability of such equations and a question of stability for quasilinear DFE MP.

Cite
ACS Style
Vernyhora, I.V.; Yasynska, L.I.; Yasinsky, V.K. Properties of solutions of dynamical systems of random structure. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Vernyhora IV, Yasynska LI, Yasinsky VK. Properties of solutions of dynamical systems of random structure. Bukovinian Mathematical Journal. 2018; 1(239).
Chicago/Turabian Style
I. V. Vernyhora, L. I. Yasynska, Volodymyr Kyrylovych Yasinsky. 2018. "Properties of solutions of dynamical systems of random structure". Bukovinian Mathematical Journal. 1 no. 239.
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