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| 含最大值项二阶中立型差分方程的渐近性 | |
| 引用本文： | Ethiraju Thandapani,刘召爽,李巧銮,Sebastian Elizabeth. 含最大值项二阶中立型差分方程的渐近性[J]. 数学研究及应用, 2006, 26(2): 191-198 |
| 作者姓名： | Ethiraju Thandapani 刘召爽 李巧銮 Sebastian Elizabeth |
| 作者单位： | 1. 贝里亚尔大学数学系,泰米尔纳德邦,636011,印度 2. 石家庄经济学院数理学院,河北,石家庄,050031;河北师范大学数学与信息科学学院,河北,石家庄,050016 3. 河北师范大学数学与信息科学学院,河北,石家庄,050016 |
| 基金项目： | the Natural Science Foundation of Hebei Province (103141)Key Science Foundation of Hebei Normal University (1301808) |
| 摘 要： | 考虑含最大值项二阶中立型差分方程其中{an},{pn}和{qn}为实数列,k和■为整数且k≥1,■≥0,我们研究了方程(*)非振动解的渐近性．通过例子说明了含最大值项的方程和相应的不含最大值项方程之间的区别． |
| 关 键 词： | 渐近性 非振动 中立型差分方程 最大值 |
| 文章编号： | 1000-341X(2006)02-0191-08 |
| 收稿时间： | 2004-07-15 |
| 修稿时间： | 2004-07-15 |
Asymptotic Behavior of Second Order Neutral Difference Equations with Maxima |
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| Ethiraju Thandapani,LIU Zhao-shuang,LI Qiao-luan and Sebastian Elizabeth. Asymptotic Behavior of Second Order Neutral Difference Equations with Maxima[J]. Journal of Mathematical Research with Applications, 2006, 26(2): 191-198 | |
| Authors: | Ethiraju Thandapani LIU Zhao-shuang LI Qiao-luan Sebastian Elizabeth |
| Affiliation: | Dept. of Math., Periyar University, Salem-636011, Tamilnadu, India;College of Math. & Phys., Shijiazhuang University of Economics, Hebei 050031, China; College of Math. & Info. Sci., Hebei Normal University, Shijiazhuang 050016, China;College of Math. & Info. Sci., Hebei Normal University, Shijiazhuang 050016, China;Dept. of Math., Periyar University, Salem-636011, Tamilnadu, India |
| Abstract: | The authors consider the following second order neutral difference equation with maxima $Delta ( {a_n Delta ( {y_n + p_n y_{n-k}} )}) - q_nmax_{[n - ell ,n]} y_s = 0,quad n = 0,1,2, cdots ,eqno{(*)}$ where ${ {a_n } },{ {p_n } }$ and ${ {q_n } }$ are sequences of real numbers, and $k$ and $ell$ are integers with $kge 1$ and $ellge 0$. And the asymptotic behavior of nonoscillatory solutions of $(*)$. An example is given to show the difference between the equations with and without ``maxima" is studied. |
| Keywords: | asymptotic behavior nonoscillation neutral difference equation maxima. |
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