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中立型时滞逻辑斯谛方程无界正解的振动性
引用本文:张复兴,刘开宇.中立型时滞逻辑斯谛方程无界正解的振动性[J].数学理论与应用,2008,28(1):36-39.
作者姓名:张复兴  刘开宇
作者单位:邵阳学院数学系,湖南大学数学与计量经济学院 邵阳,422000,长沙,410082
基金项目:国家自然科学基金项目资助(10571032)
摘    要:关于中立型逻辑斯谛方程有界正解的研究已有了长足的发展,而无界正解的研究在已有文献中却非常少见。本文利用振动性原理,结合分析方法得到其无界正解的渐近行为,由此建立中立型时滞逻辑斯谛方程无界正解振动的充分与必要条件,所获结果推广了相关文献的结论。

关 键 词:中立型  时滞  振动性

Oscillation of Unbounded Positive Solutions of Neutral Delay Logistic Equations
Zhang Fuxing.Oscillation of Unbounded Positive Solutions of Neutral Delay Logistic Equations[J].Mathematical Theory and Applications,2008,28(1):36-39.
Authors:Zhang Fuxing
Institution:Zhang Fuxing,Liu Kanyu (1 Department of Mathematics, Shaoyang University, Shaoyang, 422000; 2 College of Mathematics and Econometrics, Hunan University, Changsha, 410082)
Abstract:There is further develoment in study of bounded positive solutio n of n eutral logistic equation,but the research of unbounded positive solution is fewe r.This paper obtain asymptotic behavior of unbounded positive solution by using theory of oscillation and method of analysis.In end,we establish necessary and s ufficient condition of unbounded positive solution of neutral logistic equation. These results extend previous ones.
Keywords:Neutral Delay Oscillation
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