Nguyen The Hoan
Ukr. Mat. Zh. - 2008. - 60, № 5. - pp. 626–635
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.
Ukr. Mat. Zh. - 2003. - 55, № 4. - pp. 561-569
We present sufficient conditions for the linear asymptotic equilibrium of linear differential equations in Hilbert and Banach spaces. The results obtained are applied to studying the asymptotic equivalence of two linear differential equations.