On the asymptotic equilibrium and asymptotic equivalence of differential equations in Banach spaces

• Date: 2008
• Main Authors: Nguyen, The Hoan, Nguyen, Minh Man, Nguyen, Sinh Bay, Нгуєн, Зе Хоан, Нгуєн, Мінь Ман, Нгуєн, Сінь-Бей
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3181
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We present some conditions for the asymptotic equilibrium of nonlinear differential equations and, in particular, a linear inhomogeneous equation in Banach spaces. We also discuss analogous problems for a linear equation with unbounded operator. Some obtained results are applied to problems of asymp...