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

• Published in: Український математичний журнал
• Date: 2008
• ISSN: 1027-3190
• Main Authors: Nguyen Sinh Bay, Nguyen The Hoan, Nguyen Minh Man
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164670
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the asymptotic equilibrium and asymptotic equivalence of differential equations in Banach spaces / Nguyen Sinh Bay, Nguyen The Hoan, Nguyen Minh Man // Український математичний журнал. — 2008. — Т. 60, № 5. — С. 626–635. — Бібліогр.: 9 назв. — англ.

We present some conditions for the asymptotic equilibrium of nonlinear differential equations in Banach
 spaces, in particular, of the linear nonhomogenous equation. We also discuss analogous problems for the
 linear equation with a nonbounded operator. Some obtained results are appl...