On Periodic Solutions of Degenerate Singularly Perturbed Linear Systems with Multiple Elementary Divisor
Abstract
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.Downloads
Published
25.10.2002
Issue
Section
Research articles
How to Cite
Akymenko, A. M., and V. P. Yakovets. “On Periodic Solutions of Degenerate Singularly Perturbed Linear Systems With Multiple Elementary Divisor”. Ukrains’kyi Matematychnyi Zhurnal, vol. 54, no. 10, Oct. 2002, pp. 1403-15, https://umj.imath.kiev.ua/index.php/umj/article/view/4178.