On the Relationship between Properties of Solutions of Difference Equations and the Corresponding Differential Equations

• Date: 2005
• 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 2005
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3657
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish conditions under which the existence of a periodic solution of a differential equation is preserved if a solution of the corresponding difference equation possesses the same property. We prove the convergence of periodic solutions of a system of difference equations to a periodic soluti...