Some properties of nonlinear Volterra-Stieltjes integral operators

被引：17

作者：

Banas, J

Mena, JC

机构：

[1] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland

[2] Univ Las Palmas Gran Canaria, Dept Math, Las Palmas Gran Canaria 35017, Spain

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2005年 / 49卷 / 9-10期

关键词：

functions of bounded variation; Stieltjes integral; monotonic function; continuous function; integral operator;

D O I：

10.1016/j.camwa.2004.05.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study some properties of the nonlinear Volterra-Stieltjes integral operator of general form which is defined with help of the Stieltjes integral with the kernel depending on two variables. The results obtained in the paper generalize those obtained earlier for the Volterra-Stieltjes integral operators having less general form. We prove also an existence result for nonlinear integral equation of VolterraStieltjes type. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1565 / 1573

页数：9

共 12 条

[1]

Agarwal R.P., 1999, POSITIVE SOLUTIONS D

[2]

[Anonymous], 1998, EXISTENCE THEORY NON

[3]

Appel J., 1990, CAMBRIDGE TRACTS MAT, V95

[4] QUADRATIC EQUATIONS AND APPLICATIONS TO CHANDRASEKHAR AND RELATED EQUATIONS [J].