Method of local linear approximation in the theory of bounded solutions of nonlinear differential equations

The conditions for the existence of solutions of nonlinear differential equations in a space of functions bounded on the axis are established by using local linear approximations of these equations.

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Bibliographic Details
Date:2009
Main Authors: Slyusarchuk, V. Yu., Слюсарчук, В. Ю.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2009
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3120
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:The conditions for the existence of solutions of nonlinear differential equations in a space of functions bounded on the axis are established by using local linear approximations of these equations.