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Conditions of Solvability of Functional Equations with Differentiable λ-Injective Operator

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We establish conditions for the invertibility of differentiable λ-injective maps in arbitrary Banach spaces, as well as the conditions of existence and uniqueness of bounded and almost periodic solutions of nonlinear difference equations.

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Authors and Affiliations

  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. 19, No. 3, pp. 399–407, July–September, 2016.

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Slyusarchuk, V.Y. Conditions of Solvability of Functional Equations with Differentiable λ-Injective Operator. J Math Sci 226, 296–306 (2017). https://doi.org/10.1007/s10958-017-3535-9

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  • DOI: https://doi.org/10.1007/s10958-017-3535-9

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