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-  2015 

滞后型泛函微分方程的有界变差解
BOUNDED VARIATION SOLUTIONS FOR RETARDEDFUNCTIONAL DIFFERENTIAL EQUATIONS

Keywords: Henstock-Kurzweil积分 滞后型泛函微分方程 有界变差解
Henstock-Kurzweil integral retarded functional difierential equations bounded variation solutions

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Abstract:

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.
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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