2017
Том 69
№ 6

All Issues

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

Nguyen Minh Man, Nguyen Sinh Bay, Nguyen The Hoan

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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.

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.

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