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Oscillation and comparison theorems for certain neutral difference equations

Published online by Cambridge University Press:  17 February 2009

B. S. Lalli
Affiliation:
Department of Mathematics, University of Saskatchewan, Saskatoon, Canada, S7N OWO
B. G. Zhang
Affiliation:
Dept. of Applied Math., China.
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Abstract

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Some comparison theorems and oscillation criteria are established for the neutral difference equation

as well as for certain neutral difference equations with coefficients of arbitrary sign. Neutral difference equations with mixed arguments are also considered.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1992

References

[1]Erbe, L. H. and Zhang, B. G., “Oscillation of discrete analogues of delay equation”, Diff.Int. Equations 2 (1989) 300309.Google Scholar
[2]Gedrgiou, D. A., Grove, E. A. and Ladas, G., “Oscillations of neutral difference equations”, Appl. Anal., 33, ND 3–4 (1989) 243253.CrossRefGoogle Scholar
[3]Gyori, I. and Ladas, G., “Linearized oscillation for equations with piecewise constant arguments”, Diff. Int. Equations 2 (1989) 123131.Google Scholar
[4]Ladas, G., Philos, C. G. and Sficas, Y. G., “Sharp conditions for the oscillation of delay difference equations”, J. Applied Math and Simulation 2 (1989) 101112.CrossRefGoogle Scholar
[5]Ladas, G., Philos, C. G. and Sficas, Y. G., “Necessary and sufficient conditions for the oscillation of difference equations”, Liberta Math. 9 (1989) 121125.Google Scholar
[6]Ladas, G., “Recent developments in the oscillation of delay equations”, in Differential equations: Stability and Control, (Marcel Decker, 1990).Google Scholar
[7]Ladas, G., “Oscillations of difference equations with positive and negative coefficients”, Conference on Differential equations and Population Biology, June 10–25, 1988, Edmonton, Canada.Google Scholar
[8]Lalli, B. S., Zhang, B. G. and Zhao, Li Juan, “On oscillations and existence of positive solutions of neutral difference equations”, J. Math. Anal. Appl. 158 (1991) 213233.CrossRefGoogle Scholar
[9]Yuan, Jurang and Qian, Chuanxi, “Oscillation and comparison results for delay difference equations”, J. Math. Anal. Appl. (to appear).Google Scholar