One-dimensional kinetic equations for non-Markovian processes and statistical analysis problems of systems driven by the asymmetrical binary Markovian process

The problem of the number of terms in the one-dimensional kinetic equation for non-Markovian processes is discussed. The comparison of solutions obtained by different kinds of kinetic equations is given. The derivation of the kinetic coefficients, when the system is driven by the asymmetrical binary Markovian process, is presented. Some examples are considered.