Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 50, pp. 1-15.

Title: On the oscillation of the solutions to linear difference 
       equations with variable delay
 
Authors: George E. Chatzarakis   (Univ. of Ioannina, Greece)
         Christos G. Philos      (Univ. of Ioannina, Greece)
	 Ioannis P. Stavroulakis (Univ. of Ioannina, Greece)

Abstract: 
 A new criterion for the oscillation of the solutions to linear difference
 equations with variable delay is established. This criterion is based on a
 new fundamental lemma, which provides a useful inequality for the
 nonoscillatory solutions of the delay difference equations considered.
 
Submitted January 29, 2008. Published April 10, 2008.
Math Subject Classifications: 39A11.
Key Words: Delay difference equation; oscillatory solution; 
           nonoscillatory solution