| 康国莲.二阶半线性中立型差分方程的振动性准则[J].数学研究及应用,2006,26(2):247~252 |
| 二阶半线性中立型差分方程的振动性准则 |
| Oscillation Criteria for Second-Order Semi-Linear Neutral Difference Equations |
| 投稿时间：2004-07-05 |
| DOI：10.3770/j.issn:1000-341X.2006.02.009 |
| 中文关键词: 半线性 中立型差分方程 振动性. |
| 英文关键词:Semi-linear neutral difference equation oscillation. |
| 基金项目:国家自然科学基金 (60274021) |
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| 摘要点击次数: 2406 |
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| 中文摘要: |
| 考虑二阶半线性中立型差分方程$$\Delta[a_n|\Delta(x_n+p_nx_{n-\tau})|^{\alpha-1}\Delta(x_n+p_nx_{n-\tau})]+\sum^{k}_{i=1}q_i(n)|x_{n-\sigma_i}|^{\alpha-1}x_{n-\sigma_i}=0.\tag 1$$给出了方程(1)的解的振动性的充分条件.所有结果推广和改进了关于中立和时滞差分方程已有结果. |
| 英文摘要: |
| 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. |
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