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Almost Periodic Solutions of Differential Equations

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We construct the Favard–Amerio theory for almost periodic differential equations in Banach spaces without using the ℋ-classes of these equations. For linear equations, we present the first examples of almost periodic operators that have no analogs in the classical Favard–Amerio theory.

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  1. National University of Water Management and Utilization of Natural Resources, Soborna Str., 11, Rivne, 33000, Ukraine

    V. Yu. Slyusarchuk

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  1. V. Yu. Slyusarchuk
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Correspondence to V. Yu. Slyusarchuk.

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Translated from Neliniini Kolyvannya, Vol. 22, No. 4, pp. 532–547, October–December, 2019.

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Slyusarchuk, V.Y. Almost Periodic Solutions of Differential Equations. J Math Sci 254, 287–304 (2021). https://doi.org/10.1007/s10958-021-05305-6

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  • DOI: https://doi.org/10.1007/s10958-021-05305-6

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