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