| 滞后型泛函微分方程的有界变差解 |
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| 引用本文： | 李宝麟,苟海德.滞后型泛函微分方程的有界变差解[J].数学杂志,2015,35(3):567-578. |
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| 作者姓名： | 李宝麟 苟海德 |
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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 National Natural Science Foundation of China(11061031). |
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| 摘 要： | 本文研究了一类滞后型泛函微分方程的有界变差解.利用Henstock-Kurzweil积分与Schauder不动点定理,在Henstock-Kurzweil积分下,得到了这类滞后型泛函微分方程有界变差解的存在性定理,推广了一些相关的结果.
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| 关 键 词： | Henstock-Kurzweil积分 滞后型泛函微分方程 有界变差解 |
| 收稿时间： | 2013/12/11 0:00:00 |
| 修稿时间： | 2014/4/21 0:00:00 |
BOUNDED VARIATION SOLUTIONS FOR RETARDEDFUNCTIONAL DIFFERENTIAL EQUATIONS |
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| LI Bao-lin and GOU Hai-de.BOUNDED VARIATION SOLUTIONS FOR RETARDEDFUNCTIONAL DIFFERENTIAL EQUATIONS[J].Journal of Mathematics,2015,35(3):567-578. |
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| Authors: | LI Bao-lin and GOU Hai-de |
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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, bounded variation solution for a class of retarded functional differential equations is studied. By using the Henstock-Kurzweil integral and Schauder flxed-point theorem, the existence theorem of bounded variation solutions for this class of retarded functional difierential equations is obtained in Henstock-Kurzweil integral setting, which generalizes some related results. |
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| Keywords: | Henstock-Kurzweil integral retarded functional difierential equations bounded variation solutions |
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