The multipoint initial-finish problem for the stochastic Barenblatt - Zheltov - Kochina model

In the paper we observe the multipoint initial-finish problem for the Barenblatt -Zheltov - Kochina equation for the perturbed white noise. We show the reduction of the problem under consideration to the multipoint initial-finish problem for stochastic Sobolev-type equation. We obtain sufficient conditions for the unique solvability for the abstract problem and for the stochastic Barenblatt - Zheltov - Kochina model.