4 papers
System of interacting particles with Markovian switching
A. A. Pogorui
Most of the published articles on random motions have been devoted to the study of the telegraph process or its generalizations that describe the random motion in of a single…
The Distribution of Random Evolution in Erlang Semi-Marov Media
A. Pogorui
In this paper we study a one-dimensional random motion by having a general Erlang distribution for the sojourn times of the switching process and we obtain solution of the four ord…
Solution of Partial Differential Equations by Method of Hyperholomorphic functions
Anatoliy A. Pogorui
It is well known that the real and imaginary parts of any holomorphic function are harmonic functions of two variables. In this paper we generalize this property to finite-dimensio…
Hyperholomorphic functions on commutative algebras
Anatoliy A. Pogorui
In this paper we study properties of hyperholomorphic functions on commutative finite algebras. It is investigated the Cauchy-Riemann type conditions for hyperholomorphic functions…