| 一阶中立型时滞差分方程振动的充分必要条件 |
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| 引用本文： | 豆可可,郭松柏.一阶中立型时滞差分方程振动的充分必要条件[J].数学的实践与认识,2013,43(12). |
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| 作者姓名： | 豆可可 郭松柏 |
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| 作者单位： | 1. 杭州王道电子商务有限公司研发部,浙江杭州,310000
2. 海南师范大学数学与统计学院,海南海口,571158 |
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| 摘 要： | 研究了一阶常系数中立型时滞差分方程Ax(n)-px(n-τ)]+qx(n-σ)=0的振动性.通过构造若干适当的函数,分别得到了在01两种情况下该方程的一切解振动的充分必要条件.
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| 关 键 词： | 差分方程 振动性 特征方程 |
Necessary and Sufficient Conditions for Oscillation of First Order Delay Difference Equations |
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| DOU Ke-ke
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GUO Song-bai.Necessary and Sufficient Conditions for Oscillation of First Order Delay Difference Equations[J].Mathematics in Practice and Theory,2013,43(12). |
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| Authors: | DOU Ke-ke GUO Song-bai |
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| Abstract: | In this paper,oscillation of the first order neutral delay difference equation△x(n)—px(n—τ)]+ qx(n—σ) = 0 with constant coefficients is studied.By constructing several suitable functions,the necessary and sufficient conditions,which guarantee the oscillation of this equation,are established for two cases 0 < p < 1 and p > 1,respectively. |
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| Keywords: | difference equation oscillation characteristic equation |
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