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.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 5, pp. 626–635, May, 2008.
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Bay, N.S., Hoan, N.T. & Man, N.M. On the asymptotic equilibrium and asymptotic equivalence of differential equations in Banach spaces. Ukr Math J 60, 716–729 (2008). https://doi.org/10.1007/s11253-008-0090-z
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DOI: https://doi.org/10.1007/s11253-008-0090-z