On the asymptotic equilibrium and asymptotic equivalence of differential equations in Banach spaces
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.
English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 5, pp 716-729.
Citation Example: Nguyen Minh Man, Nguyen Sinh Bay, Nguyen The Hoan On the asymptotic equilibrium and asymptotic equivalence of differential equations in Banach spaces // Ukr. Mat. Zh. - 2008. - 60, № 5. - pp. 626–635.