| 泛函微分方程中的Razumikhin技巧 |
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| 引用本文： | 徐道义.泛函微分方程中的Razumikhin技巧[J].四川师范大学学报(自然科学版),1995,18(4):41-47. |
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| 作者姓名： | 徐道义 |
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| 作者单位： | 四川师范大学数学系 |
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| 基金项目： | 国家自然科学基金,四川省教委重点科研项目 |
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| 摘 要： | 运用Ｒａｚｕｍｉｋｈｉｎ技巧，我们获得了具有无穷时滞的泛函微分方程的零解一致稳定性、渐近稳定性与一致渐近稳定性的充分条件，应用于一些具体系统时获得了易于检验且适用性好的结果。
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| 关 键 词： | 稳定性 无穷时滞 |
RAZUMIKHIN APPROACH IN FUNCTIONAL DIFFERENTIAL EQUATIONS |
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| Xu Daoyi.RAZUMIKHIN APPROACH IN FUNCTIONAL DIFFERENTIAL EQUATIONS[J].Journal of Sichuan Normal University(Natural Science),1995,18(4):41-47. |
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| Authors: | Xu Daoyi |
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| Abstract: | Using the Razumikhin approach,we obtain some sufficient conditions for uniform stability,asymptotic stability and uniform asymptotic stability of the zero solution of functional differential equations with infinite delays.Applying these conditions to two special systems we get several new results which are easily checked. |
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| Keywords: | functional differential equation Razumikhin approach stability infinite delay |
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