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具多滞量的非自治Logistic方程的3/2稳定性
引用本文:刘智钢. 具多滞量的非自治Logistic方程的3/2稳定性[J]. 湘南学院学报, 2000, 0(4)
作者姓名:刘智钢
作者单位:郴州师范高等专科学校数学系!湖南郴州423000
摘    要:研究了具无界时滞多滞量的非自治Logistic方程X′(t) +∑mi=1ai(t)〔1+x(t)〕x(t-τi(t) =0的零解的全局渐近稳定性 ,获得了方程的零解为全局渐近稳定的充分条件 ,所得结果推广并改进了许多熟知的结论

关 键 词:无界时滞  全局渐近稳定性  Logistic方程  非自治

The 3/2 Stability of a Nonautonomous Logistic Equation with Several Delays
LIU Zhi guang. The 3/2 Stability of a Nonautonomous Logistic Equation with Several Delays[J]. Journal of Xiangnan University, 2000, 0(4)
Authors:LIU Zhi guang
Abstract:In this paper, we study the global asymptotic stability of the zero solution of the nonautonomous logistic equation with variable delayX′(t)+∑mi=1a i(t)(1+x(t))X(t-τ i(t)=0 t≥0 We obtain an sufficient condition for the zero solution of equation to be global asymptotic stability, Our results generalize and improve the corresponding results given in some known literatures
Keywords:variable delay  global asymptotic stability  logistic equation  nonautonomous
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