On Periodic Solutions of Degenerate Singularly Perturbed Linear Systems with Multiple Elementary Divisor

• Date: 2002
• Main Authors: Akymenko, A. M., Yakovets, V. P., Акименко, А. М., Яковець, В. П.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4178
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 asymptoti...