| 具分布偏差变元非自治数学生态学方程的全局渐近稳定性 |
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| 引用本文： | 罗交晚,庾建设.具分布偏差变元非自治数学生态学方程的全局渐近稳定性[J].数学学报,1998,41(6):0-1282. |
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| 作者姓名： | 罗交晚 庾建设 |
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| 作者单位： | [1]长沙铁道学院科研所 [2]湖南大学应用数学系 |
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| 基金项目： | 国家教委博士点基金，湖南省教委科研基金 |
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| 摘 要： | 本文研究具分布偏差变元非自治微分方程x＇（t）＝－g（t，x（t））－f（t，x（t＋s）du（s））零解的渐近稳定性．方程（1）包含了许多数学生态学方程．文中结论推广和改进了已有文献中相应结果．
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| 关 键 词： | 全局渐近稳定性 分布偏差交元 非自治 |
Global Asymptotic Stability of Nonautonomous Mathematical Ecological Equations with Distributed Deviating Arguments |
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| Luo Jiaowan.Global Asymptotic Stability of Nonautonomous Mathematical Ecological Equations with Distributed Deviating Arguments[J].Acta Mathematica Sinica,1998,41(6):0-1282. |
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| Authors: | Luo Jiaowan |
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| Institution: | Luo Jiaowan (Research Institute of Sciences, Changsha Railway University, Changsha 410075, Caina)Yu Jianshe (Department of Applied Mathematics, Hunan University, Changsha 410082, China) |
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| Abstract: | In the present paper, we study the global asymptotic stability of the zero solution of the nonautonomous differential equation with distributed deviating arguments x'(t) = -g(t, x(t)) - f(t, x(t s)du(s)) which includes manymathematical ecological equations. Our results generalize and improve the corresponding results given in some known literatures. |
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| Keywords: | Global asymptotic stability Distributed deviating argument Nonautonomous |
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