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Necessary and sufficient conditions for the invertibility of nonlinear differentiable maps

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

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Bibliographic Details
Date:	2016
Main Authors:	Slyusarchuk, V. Yu., Слюсарчук, В. Ю.
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2016
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1861
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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