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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. |
| 关键词: Henstock-Kurzweil积分 滞后型泛函微分方程 有界变差解 |
| DOI： |
| 分类号:O175.12 |
| 基金项目:Supported by National Natural Science Foundation of China(11061031). |
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| BOUNDED VARIATION SOLUTIONS FOR RETARDEDFUNCTIONAL DIFFERENTIAL EQUATIONS |
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LI Bao-lin,GOU Hai-de
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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. |
| Key words: Henstock-Kurzweil integral retarded functional difierential equations bounded variation solutions |
