| Banach空间中泛函微分方程的稳定性 |
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| 引用本文： | 徐道义 邓树钞. Banach空间中泛函微分方程的稳定性[J]. 四川师范大学学报(自然科学版), 1996, 19(6): 13-21 |
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| 作者姓名： | 徐道义 邓树钞 |
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| 作者单位： | [1]四川师范大学数学系 [2]内江师范高等专科学校 |
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| 摘 要： | 本文讨论了Ｂａｎａｃｈ空间中一类中立型泛函数微分方程的稳定性，建立了适用于这类系统稳定性分析的Ｒａｘｕｍｉｋｈｉｎ技巧。依此获得了中立型积分微分方程与具有Ｃ０－半群的半线性深入函微分方程稳定性新的充分条件。
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| 关 键 词： | 泛函微分方程 中立型 稳定性 巴拿赫空间 |
STABILITY OF FUNCTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES |
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| Xu Daoyi. STABILITY OF FUNCTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES[J]. Journal of Sichuan Normal University(Natural Science), 1996, 19(6): 13-21 |
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| Authors: | Xu Daoyi |
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| Abstract: | This paper discusses the stability of a class of functional differential equations in Banach spaces.The Razumikhin technique for checking the stability of the systems is proposed. Based on the results new sufficientconditions are obtained for the stability of neutral integro-differential equations and semilinear functionaldifferential equations with C0-semigroups. |
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| Keywords: | Abstract functional differential equations Neutral type Stability Semilinear functionaldifferential equations with C0-semigroups. |
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