On the superposition operator in the space of functions of bounded variation, revisited

被引：21

作者：

Bugajewska, Daria ^{[1
]}

机构：

[1] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 52卷 / 5-6期

关键词：

Banach contraction principle; Hammerstein integral equation; Volterra-Hammerstein integral equation; Variation in the sense of Jordan; phi-variation; Nonautonomous superposition operator; NONLINEAR INTEGRAL-EQUATIONS;

D O I：

10.1016/j.mcm.2010.05.008

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper we provide sufficient conditions under which a nonautonomous superposition operator maps the space of functions of bounded variation in the sense of Jordan or Young into itself. We apply these results to examine the existence and uniqueness of solutions to Hammerstein and Volterra-Hammerstein integral equations in those spaces. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：791 / 796

页数：6

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