Generalized Ordinary Differential Equations and Discrete Systems

Stefan Schwabik

Address. Mathematical Institute, Academy of Science, Zitna 25, 115 67 Praha, Czech Republic


Abstract. This note is an attempt to show the possibility to deal with discrete equations in the frame of generalized ordinary differential equations defined by Jaroslav Kurzweil in 1957. Generalized ordinary differential equations form a tool which makes it possible to use a unified approach to classical ordinary differential equations as well as discrete systems.

AMSclassification. 34A99, 39A05, 26A42

Keywords. Generalized differential equations, discrete systems.