New results for oscillation of delay difference equations. (English) Zbl 0996.39007
The authors deal with the oscillatory behavior of a linear delay difference equation of the first-order with nonnegative coefficients and new criteria are established. As to some related works, see also I. P. Stavroulakis [Comput. Math. Appl. 29, No. 7, 83-88 (1995; Zbl 0832.39002)], J. S. Yu, B. G. Zhang and X. Z. Qian [J. Math. Anal. Appl. 177, No. 2, 432-444 (1993; Zbl 0787.39004)], X. H. Tang and J. S. Yu [Hokkaido Math. J. 29, No. 1, 213-228 (2000; Zbl 0958.39015)] etc.
Reviewer: Mingshu Peng (Beijing)
MSC:
| 39A11 | Stability of difference equations (MSC2000) |
| 39A10 | Additive difference equations |
References:
| [1] | Erbe, L. H.; Zhang, B. G., Oscillation of discrete analogues of delay equations, Diff. and Integral Equations, 2, 300-309 (1989) · Zbl 0723.39004 |
| [2] | Ladas, G.; Philos, C.; Sficas, Y., Sharp condition for the oscillation of delay difference equations, J. Appl. Math. Simulation, 2, 101-112 (1989) · Zbl 0685.39004 |
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| [7] | Stavroulakis, I. P., Oscillation of delay difference equations, Computers Math. Applic., 29, 7, 83-88 (1995) · Zbl 0832.39002 |
| [8] | Yu, J. S.; Zhang, B. G.; Qian, X. Z., Oscillation of delay difference equations with oscillating coefficients, J. Math. Anal. Appl., 177, 432-444 (1993) · Zbl 0787.39004 |
| [9] | Chen, M.-P.; Yu, J. S., Oscillation of delay difference equations with variable coefficients, (Elaydi, S. N., Proceedings of the First International Conference on Difference Equations (1994), Gordon and Breach), 105-114 · Zbl 0860.39022 |
| [10] | Tang, X. H.; Yu, J. S., Oscillation of delay difference equations, Hokkaido Math. J., 29, 213-228 (2000) · Zbl 0958.39015 |
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