| 具有可变时滞的非线性差分方程的振动性及其应用 |
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| 引用本文： | 杨玉华,严艳. 具有可变时滞的非线性差分方程的振动性及其应用[J]. 华北电力大学学报(自然科学版), 2007, 34(3): 105-108 |
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| 作者姓名： | 杨玉华 严艳 |
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| 作者单位： | 华北电力大学,数理学院,河北,保定,071003;华北电力大学,数理学院,河北,保定,071003 |
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| 摘 要： | 利用比较方法和函数的凹凸性讨论了一类具有可变时滞的非线性差分方程振动的问题,得到了一系列的判别准则,推广和改进了已有的结果,并将其应用到了广义Logistic差分方程。
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| 关 键 词： | 非线性非自治差分方程 可变时滞 振动性 Logistic差分方程 |
| 文章编号： | 1007-2691（2007）03-0105-04 |
| 修稿时间： | 2005-12-19 |
Oscillation and application of nonlinear non-autonomous difference equations with variable delays |
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| YANG Yu-hua,YAN Yan. Oscillation and application of nonlinear non-autonomous difference equations with variable delays[J]. Journal of North China Electric Power University, 2007, 34(3): 105-108 |
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| Authors: | YANG Yu-hua YAN Yan |
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| Affiliation: | School of Mathematics and Physics, North China Hectric Power University, Baoding 071003, China |
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| Abstract: | Oscillation of nonlinear and non-autonomous difference equations with variable delays are discussed by using comparison method and concave-convex of function.A series of oscillation criteria for nonlinear non-autonomous difference equations with variable delays are obtained.The obtained results extend and improve the existing theorems in literature.These results are applied to the discrete extended non-autonomous Logistic equation. |
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| Keywords: | nonlinear non-autonomous difference equations variable delays oscillation Logistic equation |
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