| 具连续变量的二阶非线性中立型时滞差分方程的有界振动性 |
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| 引用本文： | 杨甲山.具连续变量的二阶非线性中立型时滞差分方程的有界振动性[J].福州大学学报(自然科学版),2009,37(5). |
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| 作者姓名： | 杨甲山 |
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| 作者单位： | 邵阳学院数学与信息科学系; |
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| 基金项目： | 湖南省教育厅科研资助项目(07C680) |
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| 摘 要： | 研究一类具有连续变量的二阶非线性中立型时滞差分方程,利用Banach空间的压缩映象原理和一些分析技巧,得到了这类方程存在有界的最终正解的判别准则,同时得出了该类方程振动的几个判别依据.
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| 关 键 词： | 中立型差分方程 有界解 非线性 连续变量 振动性 |
The bounded oscillatory for the second order nonlinear neutral delaydifference equations with continuous arguments |
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| YANG Jia-shan.The bounded oscillatory for the second order nonlinear neutral delaydifference equations with continuous arguments[J].Journal of Fuzhou University(Natural Science Edition),2009,37(5). |
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| Authors: | YANG Jia-shan |
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| Institution: | YANG Jia-shan(Department of Mathematics and Information Science,Shaoyang University,Shaoyang,Hunan 422004,China) |
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| Abstract: | In this paper,a class of the second order nonlinear neutral delay difference equations with continuous arguments are investigated.The testing for existence of the bounded eventually positive solutions is obtained by using Banach contraction mapping principle and some necessary techniques,moreover some sufficient conditions for oscillatory of the equation are given. |
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| Keywords: | neutral difference equation bounded solution nonlinear continuous arguments oscillation |
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