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Method of locally linear approximation of nonlinear difference operators by weakly regular operators

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We establish conditions for the existence of bounded solutions of nonlinear difference equations by using a local linear approximation of these equations.

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  1. National University of Water Management and Nature Resources Use, Rivne, 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. 15, No. 1, pp. 112–126, January–March, 2012.

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Slyusarchuk, V.Y. Method of locally linear approximation of nonlinear difference operators by weakly regular operators. J Math Sci 187, 494–510 (2012). https://doi.org/10.1007/s10958-012-1078-7

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