Continuous Dependence of Bounded Φ-variation Solutions on Parameter for a Class of Discontinuous Systems  

一类不连续系统Φ-有界变差解对参数的连续依赖性（英文）

作　　者：马学敏 李宝麟 林长伟 

机构地区：[1]Department of Mathematics, Dingxi Advanced Teacher's College [2]College of Mathermatics and Statistics, Northwest Normal University [3]Department of Geography, Dingxi Advanced Teacher's College

出　　处：《Chinese Quarterly Journal of Mathematics》2015年第4期610-619,共10页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(10771171);Supported by the 555 Innovation Talent Project of Gansu Province(GS-555-CXRC);Supported by the Technique Innovation Project of Northwest Normal University(NWNU-KJCXGC-212);Supported by the Youth Foundation of Dingxi Advanced Teachers College(1333)

摘　　要：The functions of bounded φ-variation are development and generalization of bounded variation functions in the usual sense.Henstock-Kurzweil integral is a very useful tool for some discontinuous systems. In this paper, by using Henstock-Kurzweil integral, we establish theorems of continuous dependence of bounded D-variation solutions on parameter for a class of discontinuous systems on the base of D-function. These results are essential generalizations of continuous dependence of bounded variation solutions on parameter for the systems.

关 键 词：discontinuous systems Henstock-Kurzweil integral bounded Φ-variation solution continuous dependence 

分 类 号：O175.14[理学—数学]