| 某类差分方程零解的全局吸引性及其应用 |
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| 引用本文： | 刘玉记. 某类差分方程零解的全局吸引性及其应用[J]. 数学杂志, 2003, 23(1): 85-90 |
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| 作者姓名： | 刘玉记 |
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| 作者单位： | 岳阳师苑学院数学系,湖南,414000 |
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| 基金项目： | 湖南省教委科研基金资助项目(99C12) |
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| 摘 要： | 研究差分方程△xn=r n f(x n-k)的全局吸引性），用二次迭代法导出方程的零解全局吸引的一族新的充分条件，将结果应用于Logistic差分方程及Michelis-Menten差分模型，所得推论改进了已有结果。
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| 关 键 词： | 时滞差分方程 全局吸引性 充分条件 logistic模型 Michelis－Menten模型 |
| 文章编号： | 0255-7797(2003)01-0085-06 |
GLOBAL ATTRACTIVITY OF CERTAIN CLASS OF DIFFERENCE EQUATIONS AND ITS APPLICATIONS |
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| Liu Yu-Ji. GLOBAL ATTRACTIVITY OF CERTAIN CLASS OF DIFFERENCE EQUATIONS AND ITS APPLICATIONS[J]. Journal of Mathematics, 2003, 23(1): 85-90 |
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| Authors: | Liu Yu-Ji |
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| Abstract: | Consider the difference equation , by a new method, the sufficient conditions that guarantee every solution of the equation to convergence to zero were to obtained. The results were applied to the logistic model and Micheals-Menten model, some known results were improved. |
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| Keywords: | difference equation global attractivity logistic model Michealis-Menten model sufficient conditions. |
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