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一类带扰动的随机脉冲泛函微分方程解的渐近性

梁青

梁青. 一类带扰动的随机脉冲泛函微分方程解的渐近性 [J]. 应用数学和力学,2022,43(9):1034-1044 doi: 10.21656/1000-0887.420267
引用本文: 梁青. 一类带扰动的随机脉冲泛函微分方程解的渐近性 [J]. 应用数学和力学,2022,43(9):1034-1044 doi: 10.21656/1000-0887.420267
LIANG Qing. Asymptotic Properties of the Solutions to a Class of Perturbed Stochastic Impulsive Functional Differential Equations[J]. Applied Mathematics and Mechanics, 2022, 43(9): 1034-1044. doi: 10.21656/1000-0887.420267
Citation: LIANG Qing. Asymptotic Properties of the Solutions to a Class of Perturbed Stochastic Impulsive Functional Differential Equations[J]. Applied Mathematics and Mechanics, 2022, 43(9): 1034-1044. doi: 10.21656/1000-0887.420267

一类带扰动的随机脉冲泛函微分方程解的渐近性

doi: 10.21656/1000-0887.420267
基金项目: 国家自然科学基金(11861029)
详细信息
    作者简介:

    梁青(1980—),男,硕士(E-mail:liangqing1112@sina.com

  • 中图分类号: O211.6

Asymptotic Properties of the Solutions to a Class of Perturbed Stochastic Impulsive Functional Differential Equations

  • 摘要:

    该文讨论了一类带扰动的随机脉冲泛函微分方程解的渐近性。通过比较扰动方程的解和原方程的解,得到了两者逼近的充分条件。首先,两者在有限的时间区间上相互逼近;其次,当扰动趋于零时,区间长度趋于无穷大,在这个区间上两个解仍然是相互逼近的。最后,举例说明了结果的有效性。

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出版历程
  • 收稿日期:  2021-09-06
  • 修回日期:  2022-07-03
  • 网络出版日期:  2022-07-12
  • 刊出日期:  2022-09-30

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