Akymenko A. M.
On Periodic Solutions of Degenerate Singularly Perturbed Linear Systems with Multiple Elementary Divisor
Ukr. Mat. Zh. - 2002. - 54, № 10. - pp. 1403-1415
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.