Advances in Difference Equations
Volume 2006 (2006), Article ID 65652, 13 pages

On third-order linear difference equations involving quasi-differences

Zuzana Došlá and Aleš Kobza

Department of Mathematics, Masaryk University, Janáčkovo nám. 2a, Brno 602 00, Czech Republic

Received 30 June 2004; Revised 20 September 2004; Accepted 12 October 2004

Copyright © 2006 Zuzana Došlá and Aleš Kobza. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We study the third-order linear difference equation with quasi-differences and its adjoint equation. The main results of the paper describe relationships between the oscillatory and nonoscillatory solutions of both equations.