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一类种群动力学模型正概周期解的存在性
引用本文:王晓,李志祥.一类种群动力学模型正概周期解的存在性[J].应用数学学报,2007,30(2):272-278.
作者姓名:王晓  李志祥
作者单位:国防科技大学数学与系统科学系,长沙,410073
摘    要:本文讨论了一类时滞微分方程正概周期解的存在性问题,利用锥中u_0-凹算子与增算子的性质,不仅得到了上述系统的正概周期解的存在性与非存在性的结论,还改进了现有的结果,并且我们的方法也适用于更一般的系统.

关 键 词:正概周期解  时滞  U0-凹算子  
修稿时间:2005-09-05

Existence of Positive Almost Periodic Solution for a Class of Population Differential Equation with Infinite Delay
WANG XIAO,LI ZHIXIANG.Existence of Positive Almost Periodic Solution for a Class of Population Differential Equation with Infinite Delay[J].Acta Mathematicae Applicatae Sinica,2007,30(2):272-278.
Authors:WANG XIAO  LI ZHIXIANG
Institution:Department of Mathematics and System Science, National University of Defense Technology, Changsha 410073
Abstract:In this paper,a class of population differential equation with infinite delay as follows is disscussed.Sufficient conditions for the existence of positive almost periodic solutions are obtained by using u_0-concave operator and increasing operator.Our results are new and some existing statements are improved.
Keywords:positive almost periodic solution  delay  u_0-concave operator  cone
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