Electron. J. Diff. Eqns., Vol. 2008(2008), No. 50, pp. 1-15.

On the oscillation of the solutions to linear difference equations with variable delay

George E. Chatzarakis, Christos G. Philos, Ioannis P. Stavroulakis

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.

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George E. Chatzarakis
Department of Mathematics, University of Ioannina
451 10 Ioannina, Greece
email: geaxatz@otenet.gr
Christos G. Philos
Department of Mathematics, University of Ioannina
451 10 Ioannina, Greece
email: cphilos@cc.uoi.gr
Ioannis P. Stavroulakis
Department of Mathematics, University of Ioannina
451 10 Ioannina, Greece
e-mail: ipstav@cc.uoi.gr

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