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Necessary and Sufficient Conditions for the Invertibility of Nonlinear Differentiable Maps

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Ukrainian Mathematical Journal Aims and scope

We establish necessary and sufficient conditions of invertibility for nonlinear differentiable maps in the case of arbitrary Banach spaces. We also establish conditions for the existence and uniqueness of bounded and almost periodic solutions of nonlinear differential and difference equations.

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Authors and Affiliations

  1. National University of Water Management and Natural Resources, Rivne, Ukraine

    V. Yu. Slyusarchuk

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  1. V. Yu. Slyusarchuk
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 4, pp. 563–576, April, 2016.

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Slyusarchuk, V.Y. Necessary and Sufficient Conditions for the Invertibility of Nonlinear Differentiable Maps. Ukr Math J 68, 638–652 (2016). https://doi.org/10.1007/s11253-016-1247-9

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  • DOI: https://doi.org/10.1007/s11253-016-1247-9

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