On Periodic Solutions of Degenerate Singularly Perturbed Linear Systems with Multiple Elementary Divisor
We establish sufficient conditions for the existence and uniqueness of a periodic solution of a system of linear differential equations with a small parameter and a degenerate matrix of coefficients of derivatives in the case of a multiple spectrum of a boundary matrix pencil. We construct asymptotics of this solution.
English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 10, pp 1698-1714.
Citation Example: Akymenko A. M., Yakovets V. P. On Periodic Solutions of Degenerate Singularly Perturbed Linear Systems with Multiple Elementary Divisor // Ukr. Mat. Zh. - 2002. - 54, № 10. - pp. 1403-1415.