Advances in Difference Equations 
Volume 2006 (2006), Article ID 65652, 13 pages
doi:10.1155/ADE/2006/65652

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

Abstract

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.