| 一类三阶非线性中立型时滞差分方程的振动性 |
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| 引用本文： | 赵以阁,孙书荣.一类三阶非线性中立型时滞差分方程的振动性[J].北京工商大学学报(自然科学版),2009,27(5):65-67. |
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| 作者姓名： | 赵以阁 孙书荣 |
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| 作者单位： | 济南大学,理学院,山东,济南,250022 |
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| 基金项目： | 山东省自然科学基金资助项目，济南大学博士基金资助项目 |
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| 摘 要： | 运用分析的方法研究一类具有连续变量的三阶非线性中立型时滞差分方程的振动性,给出该类方程所有有界解振动和方程振动的几个充分条件,推广并改进已有结论.
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| 关 键 词： | 差分方程 振动性 最终正解 连续变量 |
OSCILLATION OF THIRD ORDER NONLINEAR NEUTRAL DELAY DIFFERENCE EQUATIONS |
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| ZHAO Yige,SUN Shu-rong.OSCILLATION OF THIRD ORDER NONLINEAR NEUTRAL DELAY DIFFERENCE EQUATIONS[J].Journal of Beijing Technology and Business University:Natural Science Edition,2009,27(5):65-67. |
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| Authors: | ZHAO Yige SUN Shu-rong |
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| Institution: | ZHAO Yi-ge,SUN Shu-rong (School of Sciences,University of Jinan,Jinan 250022,China) |
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| Abstract: | By using the method of analysis,the oscillation for a class of third order nonlinear neutral delay difference equations with continuous arguments Δ2τ(r(t)Δτ(x(t)+q(t)x(t-τ)))+p(t)f(x(t-σ(t))=0 is studied.Some sufficient conditions are obtained for oscillation of all bounded solutions of the equations and oscillation of the equations.The results in this paper extend and improve the results given in literatures. |
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| Keywords: | difference equation oscillation eventually positive solution continuous argument |
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