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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Ukrains’kyi Matematychnyi Zhurnal