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非线性随机Pantograph微分方程及其θ-方法的均方渐近稳定性
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 时间：0
  • 分类：O175.13[理学—数学;理学—基础数学] O241.8[理学—计算数学;理学—数学]
  • 作者机构：[1]华中科技大学数学与统计学院,湖北武汉430074
  • 相关基金：国家自然科学基金资助项目（10871078）
作者： 肖飞雁[1], 张诚坚[1]
关键词： 非线性随机, Pantograph微分方程, 均方渐近稳定, θ-方法, Nonlinear stochastic Pantograph differential equation, Mean-square asymptotic stability, θ- method
中文摘要：

本文主要研究了非线性随机Pantograph微分方程，讨论了其零解的均方渐近稳定性并给出了零解均方渐近稳定的充分条件．在本文的第三部分，我们将随机争方法应用于这类问题，获得了数值解均方渐近稳定条件．

英文摘要：

This paper studies mean-square asymptotic stability of the zero solution of initial problems of a general class of stochastic pantograph differential equation. The sufficient conditions of mean-square asymptotic stability of the zero solution are derived. In the third section, numerical methods based on θ- methods are suggested and mean-square asymptotic stability conditions for the presented methods are derived.

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期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
  • 获奖情况:
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  • 被引量:4139