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Bounded solutions of the nonlinear Lyapunov equation and homoclinic chaos

UDC 517.9 The paper is devoted to the investigation of bounded solutions of a nonlinear Lyapunov-type problem in Banach and Hilbert spaces. Necessary and sufficient conditions for the existence of bounded solutions are obtained under the assumption that the homogeneous equation admits exponential d...

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Bibliographic Details
Date:	2019
Main Authors:	Boichuk, О. A., Pokutnyi, О. О., Бойчук, О. А., Покутний, O. О.
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2019
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1474
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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