UDC 519.21+62
1 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
 isamoil@i.ua
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ASYMPTOTIC DISSIPATIVITY FOR MERGED STOCHASTIC EVOLUTIONARY SYSTEMS
WITH MARKOV SWITCHINGS AND IMPULSE PERTURBATIONS UNDER CONDITIONS
OF LEVY APROXIMATIONS
Abstract. Conditions for asymptotic dissipativity are established for the merged system of stochastic differential equations with Markov switchings and impulse perturbations under conditions of Levi approximation. In particular, it is analyzed how the behavior of the boundary process depends on the pre-limiting normalization of a stochastic evolution system in the ergodic Markovian environment under the conditions of Levi approximation.
Keywords: random evolution, Levi approximation, asymptotic dissipativity.
FULL TEXT
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