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

Authors

  • A. N. Stanzhitskii
  • A. M. Tkachuk

Abstract

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 solution of a system of differential equations. Analogous problems are considered for bounded solutions.

Published

25.07.2005

Issue

Section

Research articles

How to Cite

Stanzhitskii, A. N., and A. M. Tkachuk. “On the Relationship Between Properties of Solutions of Difference Equations and the Corresponding Differential Equations”. Ukrains’kyi Matematychnyi Zhurnal, vol. 57, no. 7, July 2005, pp. 989–996, https://umj.imath.kiev.ua/index.php/umj/article/view/3657.