On the instability of one nonautonomous essentially nonlinear equation of thenth order

• Дата: 1999
• Автори: Vitrychenko, I. E., Витриченко, И. Е.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1999
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4670
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish sufficient conditions for the Lyapunov instability of the trivial solution of a nonautonomous equation of thenth order in the case where its limit characteristic equation has a multiple zero root. The instability is determined by nonlinear terms.