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脉冲泛函微分方程的渐近稳定性

罗治国 罗艳

罗治国, 罗艳. 脉冲泛函微分方程的渐近稳定性[J]. 应用数学和力学, 2009, 30(10): 1234-1242. doi: 10.3879/j.issn.1000-0887.2009.10.011
引用本文: 罗治国, 罗艳. 脉冲泛函微分方程的渐近稳定性[J]. 应用数学和力学, 2009, 30(10): 1234-1242. doi: 10.3879/j.issn.1000-0887.2009.10.011
LUO Zhi-guo, LUO Yan. Asymptotic Stability for Impulsive Functional Differential Equations[J]. Applied Mathematics and Mechanics, 2009, 30(10): 1234-1242. doi: 10.3879/j.issn.1000-0887.2009.10.011
Citation: LUO Zhi-guo, LUO Yan. Asymptotic Stability for Impulsive Functional Differential Equations[J]. Applied Mathematics and Mechanics, 2009, 30(10): 1234-1242. doi: 10.3879/j.issn.1000-0887.2009.10.011

脉冲泛函微分方程的渐近稳定性

doi: 10.3879/j.issn.1000-0887.2009.10.011
基金项目: 国家自然科学基金资助项目(10871063);湖南省教育厅(重点)科研基金资助项目(07A038)
详细信息
    作者简介:

    罗治国(1956- ),男,湖南湘潭人,教授,博士(联系人.Tel:+86-731-88872549;E-mail:luozg@hunnu.edu.cn)

  • 中图分类号: O175

Asymptotic Stability for Impulsive Functional Differential Equations

  • 摘要: 讨论了一类脉冲泛函微分方程的渐近稳定性.通过改进 Liapunov泛函的上界,利用Liapunov泛函第二方法和Jensen不等式,得到了一个一致稳定性定理和一个一致渐近稳定性定理,给出的例子说明了所得结果的优越性
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出版历程
  • 收稿日期:  2009-01-21
  • 修回日期:  2009-08-18
  • 刊出日期:  2009-10-15

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