| 无限滞后测度泛函微分方程的平均化 |
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| 引用本文： | 李宝麟,王保弟.无限滞后测度泛函微分方程的平均化[J].数学杂志,2017,37(5):987-998. |
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| 作者姓名： | 李宝麟 王保弟 |
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| 作者单位： | 西北师范大学数学与统计学院, 甘肃兰州 730070,西北师范大学数学与统计学院, 甘肃兰州 730070 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (11061031). |
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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.
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| 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 |
| 收稿时间： | 2016/5/11 0:00:00 |
| 修稿时间： | 2016/8/23 0:00:00 |
AVERAGING FOR MEASURE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY |
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| LI Bao-lin and WANG Bao-di.AVERAGING FOR MEASURE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY[J].Journal of Mathematics,2017,37(5):987-998. |
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| Authors: | LI Bao-lin and WANG Bao-di |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China and College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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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. |
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| Keywords: | averaging methods measure functional differential equations generalized ordinary differential equations Kurzweil-Stieltjes integral |
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