| 一阶非线性时滞中立型差分方程的振动准则 |
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| 引用本文： | 沈吉森. 一阶非线性时滞中立型差分方程的振动准则[J]. 兰州大学学报(自然科学版), 2000, 36(6): 1-5 |
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| 作者姓名： | 沈吉森 |
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| 作者单位： | 兰州大学,数学系,甘肃,兰州,730000 |
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| 摘 要： | 考虑一阶非线性时滞中立型差分方程△（yn-pnyn-p) qnПi=1^m|yn-σi|^αisgnyn-σi=0.n=0,1,2,…得到了方程所有解振动的充要条件及比较定理，取掉了前人工作中的限制条件PN kt≤1，k≥0．
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| 关 键 词： | 中立型差分方程 振动准则 比较定理 时滞 |
Oscillation Criteria for First Order Neutral Nonlinear Difference Equations with Delays |
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| Shen Jisen. Oscillation Criteria for First Order Neutral Nonlinear Difference Equations with Delays[J]. Journal of Lanzhou University(Natural Science), 2000, 36(6): 1-5 |
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| Authors: | Shen Jisen |
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| Abstract: | Consider the first order neutral nonlinear difference equations of the form△(yn-pnyn-r)+qn mi=1|yn-σi|αisgnyn-σi=0, n=0,1,2,…New necessary and sufficient conditions and comparison theorems for oscillation of solutions of the above equation are obtained without the restriction pN+kτ≤1 for k≥0 commonly used in the literature. |
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| Keywords: | neutral difference equation oscillation criteria comparison theorem delay |
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