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带有马尔科夫调制和非Lipschitz系数的随机种群方程的数值解(英文)

Numerical Solutions of Stochastic Age-Dependent Population Equations with Markovian Switching and Non-Lipschitz Coefficients
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摘要 减弱文[1]中的Lipschitz条件,在非Lipschitz条件下,我们证明了方程(1)中的Euler数值解收敛于精确解.从而推广和改进了某些结果. In this paper,we relax the global Lipschitz conditions which imposed on[1]and prove that the Euler approximate solutions converge to the exact solutions of Eq.(1) under non-lipschitz condition.Some known results are generalized and improved.
作者 毛伟
机构地区 江苏第二师范学院数学与信息技术学院
出处 《生物数学学报》 2014年第1期45-53,共9页 Journal of Biomathematics
基金 Qing Lan Project of Jiangsu Province(2012) NNSF of China(11071037,11102076) The NSF of Higher Education Institutions of Jiangsu Province(13KJB110005) The Grant of Jiangsu Second Normal University(Jsie2011zd04 JSNU-ZY-02) The Jiangsu Government Overseas Study Scholarship
关键词 随机种群方程 马尔科夫调制 数值解 非Lipschitz系数 Stochastic age-dependent population equations Markovian switching Numerical solution Non-lipschitz conditions
分类号 O241.8 [理学—计算数学]
  • 相关文献

参考文献8

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二级参考文献9

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生物数学学报
2014年 第1期

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