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奇数阶非线性中立型差分方程的振动性 被引量:7

Oscillation for a Class of the Higher Order Nonlinear Neutral Difference Equations
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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. 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.
出处 《河南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第2期18-20,共3页 Journal of Henan Normal University(Natural Science Edition)
基金 湖南省教育厅科研资助项目(07C680)
关键词 中立型差分方程 时滞 非线性 振动性 neutral difference equation delay nonlinear oscillation
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