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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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Datum:	2016
Hauptverfasser:	Slyusarchuk, V. Yu., Слюсарчук, В. Ю.
Format:	Artikel
Sprache:	Ukrainisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2016
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/1861
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Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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