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Dissipativity of differential equations and the corresponding difference equations

We establish conditions under which the existence of a bounded solution of a difference equation yields the existence of a bounded solution of the corresponding differential equation. We investigate the relationship between the dissipativities of differential and difference equations in terms of Lya...

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Bibliographic Details
Date:	2006
Main Authors:	Stanzhitskii, A. N., Tkachuk, A. M., Станжицький, О. М., Ткачук, А. М.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2006
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3525
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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