C&SA | Archive

Volume 54>№ 2 MARCH — APRIL 2018

UDC 519.21+62

I.V. Samoilenko,¹ Y.M. Chabanyuk,² A.V. Nikitin³

ASYMPTOTIC DІSSIPATION FOR RANDOM PROCESSES WITH IMPULSE PERTURBATION
IN THE POISSON APPROXIMATION SCHEME

Abstract. The authors analyze asymptotic dissipation of pre-limit normalized stochastic evolution system in ergodic Markov environment, which significantly influences the behavior of the limiting process.

Keywords: dissipativity, Markov process, generator, Poisson approximation.

FULL TEXT

¹ Taras Shevchenko National University of Kyiv, Kyiv, Ukraine,
e-mail: isamoil@i.ua.

² Lublin University of Technology (Politechnika Lubelska), Lublin, Poland,
e-mail: yaroslav.chab@gmail.com.

³ Taras Shevchenko National University of Kyiv, Kyiv, Ukraine,
e-mail: nikitin2505@gmail.com.

UDC 519.21+62

ASYMPTOTIC DІSSIPATION FOR RANDOM PROCESSES WITH IMPULSE PERTURBATION IN THE POISSON APPROXIMATION SCHEME

ASYMPTOTIC DІSSIPATION FOR RANDOM PROCESSES WITH IMPULSE PERTURBATION
IN THE POISSON APPROXIMATION SCHEME