Geodesic
Derivation of Kolmogorov – Chapman type equations with Fokker – Planck operator
Dalʹnevostočnyj matematičeskij žurnal, Tome 20 (2020) no. 1, pp. 90-107 
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/
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     author = {D. B. Prokopieva and T. {\CYRA}. Zhuk and N. I. Golovko},
     title = {Derivation of {Kolmogorov} {\textendash} {Chapman} type equations with {Fokker} {\textendash} {Planck} operator},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {90--107},
     year = {2020},
     volume = {20},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2020_20_1_a9/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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