| 可变时滞非自治Logistic方程的全局吸引性 |
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| 引用本文： | 贾茗[1,2] 申建华 李维岳. 可变时滞非自治Logistic方程的全局吸引性[J]. 中南林学院学报, 2006, 26(5): 45-49 |
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| 作者姓名： | 贾茗[1 2] 申建华 李维岳 |
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| 作者单位： | [1]中南林业科技大学理学院,湖南长沙410004 [2]湖南师范大学数学与计算机科学学院,湖南长沙410081 [3]湖南省永兴三中,湖南永兴423300 |
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| 基金项目： | 国家自然科学基金资助项目“脉冲微分方程某些定理论的复杂性研究”（10571050）,湖南省教育厅科学研究重点项目、湖南省教育厅青年项目“偏泛函微分方程的定性研究”（01B009）. |
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| 摘 要： | 主要研究一类可变时滞非自治Logistic方程的全局吸引性，通过分别研究非振动解和振动解的性质并使用一定的分析技巧结合不等式的方法，得到了方程的正平衡态为全局吸子的新的充分条件，这些条件便于验证．所得到的结果推广并改进了相关文献中的一些结果．也完善并补充了非自治变时滞Logistic方程的全局吸引性问题的研究工作．
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| 关 键 词： | 数学 微分方程 全局吸引性 Logistic方程 可变时滞 |
| 收稿时间： | 2005-12-20 |
Overall Attractiveness of Variable-delay Non-autonomous Logistic Equation |
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| JIA Ming SHEN Jian-hua, LI Wei-yue. Overall Attractiveness of Variable-delay Non-autonomous Logistic Equation[J]. Journal of Central South Forestry University, 2006, 26(5): 45-49 |
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| Authors: | JIA Ming SHEN Jian-hua LI Wei-yue |
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| Affiliation: | 1. School of Sciences, Central South University of Forestry and Tecnolog, Changsha 410004, Hunan, China; 2. School of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, Hunan, China; 3. No. 3 Middle School of Yongxing, Yongxing 423300, Hunan, China |
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| Abstract: | In this paper, we mainly consider the overall attractiveness of a class of variable-delay nonrautonomous Logistic equations. By researching into non-oscillation and oscillation and using un-equality analysis method and other new techniques, we have obtained some sufficient conditions for the positive steady state of the variable-delay non-autonomous Logistic equations having overall attractiveness. The results can extend and improve on the achievements in the concerned literature. |
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| Keywords: | mathenativs differential equation logistic equation overall attractiveness variable delay |
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