| Oscillation Criteria for Second-Order Semi-Linear Neutral Difference Equations |
| Received:July 05, 2004 |
| Key Words:
Semi-linear neutral difference equation oscillation.
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| Fund Project:the National Natural Science Foundation of China (60274021) |
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| Abstract: |
| Consider the second-order semi-linear neutral difference equation $$\Delta[a_n|\Delta(x_n+p_nx_{n-\tau})|^{\alpha-1}\Delta(x_n+p_nx_{n-\tau})]+\sum^{k}_{i=1}q_i(n)|x_{n-\sigma_i}|^{\alpha-1}x_{n-\sigma_i}=0.\tag 1$$ The sufficient conditions are established for oscillation of the solutions of (1). These results generalize and improve some known results about both neutral and delay difference equation. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2006.02.009 |
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