滞后型泛函微分方程的有界变差解（英文）  

BOUNDED VARIATION SOLUTIONS FOR RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS

作　　者：李宝麟[1] 苟海德[1] 

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《数学杂志》2015年第3期567-578,共12页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11061031)

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.In this paper, bounded variation solution for a class of retarded functional dif- ferential equations is studied. By using the Henstock-Kurzweil integral and Schauder fixed-point theorem, the existence theorem of bounded variation solutions for this class of retarded functional differential equations is obtained in Henstock-Kurzweil integral setting, which generalizes some related results.

关 键 词：Henstock-Kurzweil积分 滞后型泛函微分方程 有界变差解 

分 类 号：O175.12[理学—数学]