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. 
@article{MZM_2015_97_2_a9,
     author = {V. E. Slyusarchuk},
     title = {Conditions for the {Existence} of {Almost-Periodic} {Solutions} of {Nonlinear} {Difference} {Equations} in {Banach} {Space}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {277--285},
     publisher = {mathdoc},
     volume = {97},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_2_a9/}
}
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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/