| 与年龄相关的随机时滞种群方程的指数稳定性 |
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| 引用本文： | 李荣华,戴永红,孟红兵.与年龄相关的随机时滞种群方程的指数稳定性[J].数学年刊A辑(中文版),2006(1). |
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| 作者姓名： | 李荣华 戴永红 孟红兵 |
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| 作者单位： | 中国石油大学应用数学系，西安交通大学理学院，西安交通大学理学院 山东 东营 257061，西安 710049，西安 710049 |
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| 基金项目： | 中国石油大学校基金资助的项目． |
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| 摘 要： | 本文研究了与年龄相关的随机时滞种群方程,运用Burkholder-Davis-Gundy定理和改进的 coercivity条件,建立了均方意义和几乎处处意义下与年龄相关的随机时滞种群方程稳定性的判定准则,得到了保证强解稳定的若干充分条件．
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| 关 键 词： | 与年龄相关随机时滞种群方程 几乎处处稳定 均方稳定 It(o|^)’s公式 |
Exponential Stability of Age-Dependent Stochastic Delay Population Equations |
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| LI Ronghua DAI Yonghong MENG Hongbing.Exponential Stability of Age-Dependent Stochastic Delay Population Equations[J].Chinese Annals of Mathematics,2006(1). |
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| Authors: | LI Ronghua DAI Yonghong MENG Hongbing |
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| Institution: | LI Ronghua DAI Yonghong MENG Hongbing Department of Applied Mathematics,Petroleum University,Dongying 257061,Shandong,China. Faculty of Science,Xi'an Jiaotong University,Xi'an 710049,China. |
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| Abstract: | This paper studies age-dependent stochastic delay population equations. By means of Burkholder-Davis-Gundy's theorem and the improved coercivity conditions, some criteria are established for exponential stability of age-dependent stochastic delay population equations in the mean square and almost sure sense. Various sufficient conditions are obtained to ensure the stability of the strong solutions. |
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| Keywords: | Age-dependent stochastic delay population equation Almost sure stability Mean square stability It(o|^)'s formula |
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