| 具有连续变量高阶非线性差分方程振动性的充要条件与非振动性的必要条件 |
| |
| 引用本文： | 刘一龙. 具有连续变量高阶非线性差分方程振动性的充要条件与非振动性的必要条件[J]. 邵阳学院学报(自然科学版), 2012, 9(1): 14-18 |
| |
| 作者姓名： | 刘一龙 |
| |
| 作者单位： | 邵阳学院理学与信息科学系,湖南邵阳,422004 |
| |
| 基金项目： | 国家自然科学基金（11071066）; 湖南省教育厅科研基金资助项目（10C1188） |
| |
| 摘 要： | 利用分析方法的技巧,研究了一类具有连续变量的高阶非线性差分方程的振动性与非振动性,得到了这类方程存在非振动解的必要条件与振动解的充要条件.所得结论推广和改进有关文献的结论.
|
| 关 键 词： | 非线性差分方程 连续变量 振动性 |
Oscillation and Nonoscillation Criteria for a Class of the Higher order Nonlinear Difference Equations with Continuous Arguments |
| |
| LIU Yi-long. Oscillation and Nonoscillation Criteria for a Class of the Higher order Nonlinear Difference Equations with Continuous Arguments[J]. Journal of Shaoyang University(Natural Science Edition), 2012, 9(1): 14-18 |
| |
| Authors: | LIU Yi-long |
| |
| Affiliation: | LIU Yi-long(Department of Science and Information Science,Shaoyang University,Shaoyang,Hunan 422004,China) |
| |
| Abstract: | Using the method of amalysis,we investigate the oscillation and nonoscillation of soulutions to a class of higher oder nonlinear difference equations with continuous arguments.Necessary conditions for the nonoscillation,neessary and sufficient conditions for the oscillation are obtained.The results extend and improve some known results. |
| |
| Keywords: | nonlinear difference equation continuous arguments oscillation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
