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

  • The Hoan Nguyen
  • Minh Man Nguyen
  • Sinh Bay Nguyen

Abstract

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 asymptotic equivalence.
Published
25.05.2008
How to Cite
Nguyen, T. H., M. M. Nguyen, and S. B. Nguyen. “On the Asymptotic Equilibrium and Asymptotic Equivalence of Differential Equations in Banach Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 5, May 2008, pp. 626–635, https://umj.imath.kiev.ua/index.php/umj/article/view/3181.
Section
Research articles