We introduce a new class of almost periodic operators and establish the conditions of existence of almost periodic solutions of nonlinear discrete equations. These solutions can be not almost periodic in Bochner’s sense.
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Translated from Neliniini Kolyvannya, Vol. 17, No. 3, pp. 407–418, July–September, 2014.
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Slyusarchuk, V.Y. Almost Periodic Solutions of Nonlinear Discrete Systems that Can Be Not Almost Periodic in Bochner’s Sense. J Math Sci 212, 335–348 (2016). https://doi.org/10.1007/s10958-015-2668-y
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DOI: https://doi.org/10.1007/s10958-015-2668-y