Abstract
We prove a comparison theorem for solutions of nonlinear stochastic differential equations with Poisson perturbations and delay. We consider one problem of stochastic control.
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P. Billingsley,Convergence of Probability Measures, Wiley, New York (1968).
I. I. Gikhman and A. V. Skorokhod,Stochastic Differential Equations and Their Applications [in Russian], Naukova Dumka, Kiev (1982).
E. F. Tsar'kov and V. K. Yasinskii,Quasilinear Stochastic Differential-Functional Equations [in Russian], Orientir, Riga (1992).
M. Ikeda and S. Watanabe,Stochastic Differential Equations and Diffusion Processes, North-Holland, Amsterdam (1981).
I. I. Gikhman and A. V. Skorokhod,Stochastic Differential Equations [in Russian], Naukova Dumka, Kiev (1968).
E. F. Tsar'kov,Random Perturbations of Differential-Functional Equations [in Russian], Zinatne, Riga (1989).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol.47, No. 11, pp. 1566–1573, November, 1995.
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Yasyns'kyi, V.K., Sverdan, M.L. & Yurchenko, I.V. On one problem of stochastic control. Ukr Math J 47, 1788–1797 (1995). https://doi.org/10.1007/BF01057927
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DOI: https://doi.org/10.1007/BF01057927