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| 摘要: |
| 本文研究了无限滞后测度泛函微分方程的平均化.利用广义常微分方程的平均化方法，在无限滞后测度泛函微分方程可以转化为广义常微分方程的基础上，获得了这类方程的周期和非周期平均化定理，推广了一些相关的结果. |
| 关键词: 平均化方法 测度泛函微分方程 广义常微分方程 Kurzweil-Stieltjes积分 |
| DOI： |
| 分类号:O175.12 |
| 基金项目:Supported by the National Natural Science Foundation of China (11061031). |
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| AVERAGING FOR MEASURE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY |
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LI Bao-lin,WANG Bao-di
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| Abstract: |
| In this paper, we study the averaging for measure functional differential equations with infinite delay. By using the averaging theorem for generalized ordinary differential equations, under the measure functional differential equations with infinite delay is equivalent to the generalized ordinary differential equations under some conditions, the periodic and non-periodic averaging theorem for this class of retarded functional differential equations is obtained, which generalizes some related results. |
| Key words: averaging methods measure functional differential equations generalized ordinary differential equations Kurzweil-Stieltjes integral |
