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具扩散的年龄结构脉冲随机时滞种群方程的均方稳定性(英文)
引用本文:李荣华,姜英,吴大焕.具扩散的年龄结构脉冲随机时滞种群方程的均方稳定性(英文)[J].应用数学,2010,23(3).
作者姓名:李荣华  姜英  吴大焕
作者单位:中国石油大学(华东)数学与计算科学学院,山东,东营,257061
摘    要:本文考虑一类具扩散的年龄结构脉冲随机时滞种群方程.主要目的是研究具扩散的年龄结构脉冲随机时滞种群平凡解的均方稳定性,给定两个使平凡解均方稳定的充分条件.

关 键 词:年龄结构的随机时滞种群方程  脉冲  均方稳定性  扩散  Lyapunov泛函

Mean Square Stability of Age-structured Impulsive Stochastic Delay Population Equations with Diffusions
LI Ronghua,JIANG Ying,WU Dahuan.Mean Square Stability of Age-structured Impulsive Stochastic Delay Population Equations with Diffusions[J].Mathematica Applicata,2010,23(3).
Authors:LI Ronghua  JIANG Ying  WU Dahuan
Abstract:In this paper, a class of age-structured impulsive stochastic delay population equations with diffusions is considered. The main purpose of this paper is to investigate the mean square stability of the trivial solutions to age-structured impulsive stochastic delay population equations with diffusions. Two sufficient conditions ensuring that the trivial solution is stable in mean square are given.
Keywords:Age-structured stochastic delay population equation  Impulsive  Mean square stability  Diffusion  Lyapunov functional
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