Geodesic
Derivation of Kolmogorov -- Chapman type equations with Fokker -- Planck operator
Dalʹnevostočnyj matematičeskij žurnal, Tome 20 (2020) no. 1, pp. 90-107

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In this paper we obtain the differential equation of the type Kolmogorov – Chapman with differential operator of the Fokker – Planck, having theoretical and practical value in the differential equations theory. Equations concerning non-stationary and stationary characteristics of the number of applications obtained for a class of Queuing systems (QS) with an infinite storage device, one service device with exponential service, the input of which is supplied twice stochastic a Poisson flow whose intensity is a random diffusion process with springy boundaries and a non-zero drift coefficient. Service systems with diffusion intensity of the input flow are used for modeling of global computer networks nodes. 
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     author = {D. B. Prokopieva and T. {\CYRA}. Zhuk and N. I. Golovko},
     title = {Derivation of {Kolmogorov} -- {Chapman} type equations with {Fokker} -- {Planck} operator},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
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     number = {1},
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     language = {ru},
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D. B. Prokopieva; T. А. Zhuk; N. I. Golovko. Derivation of Kolmogorov -- Chapman type equations with Fokker -- Planck operator. Dalʹnevostočnyj matematičeskij žurnal, Tome 20 (2020) no. 1, pp. 90-107. http://geodesic.mathdoc.fr/item/DVMG_2020_20_1_a9/