Asymptotic expansion of a semi-Markov random evolution
We determine the regular and singular components of the asymptotic expansion of a semi-Markov random evolution and show the regularity of boundary conditions. In addition, we propose an algorithm for finding initial conditions for t = 0 in explicit form using the boundary conditions for the singular component of the expansion.
English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 9, pp 1396-1414.
Citation Example: Samoilenko I. V. Asymptotic expansion of a semi-Markov random evolution // Ukr. Mat. Zh. - 2006. - 58, № 9. - pp. 1234–1248.