| Oscillation of High Order Neutral Delay Difference Equations with Continuous Arguments |
| Received:August 15, 2007 Revised:February 26, 2008 |
| Key Words:
delay difference equation bounded solution oscillation nonoscillation.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10571050) and the Science and Research Fund for Higher College of Hunan Province (Grant No.06C054). |
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| Abstract: |
| In this paper, we study oscillation of solutions for a class of high order neutral delay difference equations with variable coefficients $$\Delta_\tau^m[x(t)-c(t)x(t-\tau)]=(-1)^mp(t)x(t-\sigma),~~t\geq t_0>0.$$ Some sufficient conditions are obtained for bounded oscillation of the solutions. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.02.022 |
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