Derivation of Kolmogorov – Chapman type equations with Fokker – Planck operator

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.