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) |
|
摘要点击次数: 2407 |
全文下载次数: 1592 |
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. |
查看全文 查看/发表评论 下载PDF阅读器 |