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

• Дата: 2002
• Автори: Akymenko, A. M., Yakovets, V. P., Акименко, А. М., Яковець, В. П.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2002
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4178
• Назва журналу: 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...