Dissipativity of differential equations and the corresponding difference equations

• Datum: 2006
• Hauptverfasser: Stanzhitskii, A. N., Tkachuk, A. M., Станжицький, О. М., Ткачук, А. М.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2006
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3525
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...