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Asymptotic stability in the mean square solution of a stochastic differential-difference equation of neutral type with integral over the Poisson measure
Malyk Igor 1 , Bereza Vitaliy Yuriyovych 2
1 Department of Mathematical Problems of Management and Cybernetics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
2 Chernivtsi National University named after Yuriy Fedkovych, Chernivtsi, 58002, Ukraine
Keywords: asymptotic stability, a stochastic differential-difference equation of neutral type, the Poisson measure
Abstract

We obtain necessary and sufficient conditions for the asymptotic stability in the mean square of a solution of a neutral type stochastic differential-difference equation with integration relatively to the Poisson measure.

References

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Cite
ACS Style
Malyk, I.; Bereza, V.Y. Asymptotic stability in the mean square solution of a stochastic differential-difference equation of neutral type with integral over the Poisson measure. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Malyk I, Bereza VY. Asymptotic stability in the mean square solution of a stochastic differential-difference equation of neutral type with integral over the Poisson measure. Bukovinian Mathematical Journal. 2018; 1(454).
Chicago/Turabian Style
Igor Malyk, Vitaliy Yuriyovych Bereza. 2018. "Asymptotic stability in the mean square solution of a stochastic differential-difference equation of neutral type with integral over the Poisson measure". Bukovinian Mathematical Journal. 1 no. 454.
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