| 奇数阶非线性中立型差分方程的振动性 |
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| 引用本文： | 张晓建,杨甲山.奇数阶非线性中立型差分方程的振动性[J].河南师范大学学报(自然科学版),2009,37(2). |
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| 作者姓名： | 张晓建 杨甲山 |
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| 作者单位： | 邵阳学院,理学与信息科学系,湖南,邵阳,422004 |
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| 基金项目： | 湖南省教育厅科研项目 |
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| 摘 要： | 用分析的方法研究了一类奇数阶非线性中立型时滞差分方程Δd(a(n)x(n)-p(n)x(n-τ))+∑sj=1qj(n)fj(x(n-σj))=0的振动性,得到了该方程振动的若干新的充分条件,推广并改进了现有文献中的结果.
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| 关 键 词： | 中立型差分方程 时滞 非线性 振动性 |
Oscillation for a Class of the Higher Order Nonlinear Neutral Difference Equations |
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| ZHANG Xiao-jian,YANG Jia-shan.Oscillation for a Class of the Higher Order Nonlinear Neutral Difference Equations[J].Journal of Henan Normal University(Natural Science),2009,37(2). |
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| Authors: | ZHANG Xiao-jian YANG Jia-shan |
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| Institution: | Department of Mathematics and Information Science;Shaoyang University;Shaoyang 422004;China |
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| Abstract: | By using the method of analysis,the oscillation for a class of the higher order nonlinear neutral delay difference equation Δd(a(n)x(n)-p(n)x(n-τ))+∑sj=1qj(n)fj(x(n-σj))=0 is studied in this paper.Some new sufficient conditions for the oscillation of the equations are obtained.The results improve and extend some existing results in the literature. |
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| Keywords: | neutral difference equation delay nonlinear oscillation |
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