| 具有无界时滞的差分方程振动性的充分条件 |
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| 引用本文： | 赵霆雷,彭大衡.具有无界时滞的差分方程振动性的充分条件[J].湖南师范大学自然科学学报,1999,22(3):11-15. |
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| 作者姓名： | 赵霆雷 彭大衡 |
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| 作者单位： | 1. 湖南师范大学数学系,湖南长沙,410081
2. 湖南大学数学系,湖南长沙,410082 |
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| 摘 要： | 考虑时滞差分方程ｘｎ＋１－ｘｎ＋ｐｎｘτ（ｎ）＝０。ｎ＝１，２，３…．τ：Ｎ→Ｚ是非减的，ｋ（ｎ）＝ｎ－τ（ｎ）取正值且非减，＾ｌｉｍ ｎ→∞τ（ｎ）＝∞，｛ｐｎ｝是非负序列。得到了该方程振动性的一些充分条件。
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| 关 键 词： | 振动 差分方程 无界时滞 |
Sufficient Conditions for the Oscillation of Difference Equations with Unbounded Delay |
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| Zhao Tinglei,Peng Daheng.Sufficient Conditions for the Oscillation of Difference Equations with Unbounded Delay[J].Journal of Natural Science of Hunan Normal University,1999,22(3):11-15. |
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| Authors: | Zhao Tinglei Peng Daheng |
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| Abstract: | Consider the delay difference equation xn+1-xn+pnxτ(n)=0,n=1,2,3,....where τ:N→Z is nondecreasing,k(n)=n-T(n) is positive and nondecreasing,τ(n)=∞,{pn} is a nonnegative sequence.Some sufficient conditions for the oscillation of this equation are obtained. |
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| Keywords: | oscillationl difference equation unbounded delay |
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