| 一阶中立型时滞差分方程的线性化振动性定理 |
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| 引用本文： | 庾建设,周展.一阶中立型时滞差分方程的线性化振动性定理[J].高校应用数学学报(A辑),1999,14(3):267-272. |
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| 作者姓名： | 庾建设 周展 |
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| 作者单位： | 湖南大学应用数学系 |
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| 基金项目： | 国家自然科学基金,湖南省中青年人才基金 |
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| 摘 要： | 本文考虑一类非线性中立型时滞差分方程，证明了在一定条件下，若与此方程相关的一个线性差分方程的每个解振动，则该非线性差分方程的每个解也振动。
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| 关 键 词： | 中立型 线性化 振动性 |
LINEARIZED OSCILLATION THEOREMS FOR FIRST ORDER NEUTRAL DELAY DIFFERENCE EQUATIONS |
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| Yu Jianshe,Zhou Zhan.LINEARIZED OSCILLATION THEOREMS FOR FIRST ORDER NEUTRAL DELAY DIFFERENCE EQUATIONS[J].Applied Mathematics A Journal of Chinese Universities,1999,14(3):267-272. |
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| Authors: | Yu Jianshe Zhou Zhan |
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| Abstract: | In this paper, a class of nonlinear neutral delay difference equations is
considered. It is proved that under appropriate hypotheses every solution of the nonlinear
difference equation oscillates if the same is true for a linear difference equation associated with
this nonlinear difference equation. |
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| Keywords: | Neutral Linearization Oscillation |
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