Geodesic
Conditions for the Existence of Almost-Periodic Solutions of Nonlinear Difference Equations in Banach Space
Matematičeskie zametki, Tome 97 (2015) no. 2, pp. 277-285.

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Conditions for the existence of almost-periodic solutions of nonlinear almost-periodic difference equations with continuous argument in a Banach space are obtained. These conditions do not involve the ${\mathscr H}$-classes of these equations.
Keywords: nonlinear almost-periodic difference equation, almost-periodic solution, compact set, Banach space. 
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V. E. Slyusarchuk. Conditions for the Existence of Almost-Periodic Solutions of Nonlinear Difference Equations in Banach Space. Matematičeskie zametki, Tome 97 (2015) no. 2, pp. 277-285. http://geodesic.mathdoc.fr/item/MZM_2015_97_2_a9/

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