| 二阶变系数多时滞非线性中立型差分方程的有界振动性 |
| |
| 引用本文： | 杨甲山.二阶变系数多时滞非线性中立型差分方程的有界振动性[J].湖北大学学报(自然科学版),2009,31(1):8-11. |
| |
| 作者姓名： | 杨甲山 |
| |
| 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： | 湖南省教育厅科研项目 |
| |
| 摘 要： | 研究一类具有变系数的二阶非线性中立型差分方程，利用Banach空间的压缩映象原理和一些分析技巧，得到这类方程存在有界的最终正解的判别准则，并同时得出该类方程振动的几个判别依据，推广了现有文献中的某些结果．
|
| 关 键 词： | 中立型差分方程 非线性时滞差分方程 最终正解 |
The bounded oscillatory of the second order nonlinear neutral difference equations with variable coefficients |
| |
| YANG Jia-shan.The bounded oscillatory of the second order nonlinear neutral difference equations with variable coefficients[J].Journal of Hubei University(Natural Science Edition),2009,31(1):8-11. |
| |
| Authors: | YANG Jia-shan |
| |
| Institution: | Department of Mathematics and Information Science;Shaoyang University;Shaoyang 422004;China |
| |
| Abstract: | A class of the second order nonlinear neutral difference equations with variable coefficients was investigated.The testing for existence of the bounded eventually positive solutions was obtained by using Banach contraction mapping principle and some necessary techniques,moreover some sufficient conditions for oscillatory of the equation were given.The new results extended some existing results in the literature. |
| |
| Keywords: | neutral difference equation nonlinear delay difference equation eventually positive solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
