ON EXISTENCE AND UNIQUENESS OF L1-SOLUTIONS FOR QUADRATIC INTEGRAL EQUATIONS VIA A KRASNOSELSKII-TYPE FIXED POINT THEOREM

被引：7

作者：

Agarwal, Ravi P. ^{[1
]}

Metwali, Mohamed M. A. ^{[2
]}

O'Regan, Donal ^{[3
]}

机构：

[1] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX 78363 USA

[2] Damanhour Univ, Fac Sci, Dept Math, Damanhour, Egypt

[3] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2018年 / 48卷 / 06期

关键词：

Quadratic-Urysohn integral equations; integrable solutions; Krasnoselskii's fixed point theorem; uniqueness of the solution;

D O I：

10.1216/RMJ-2018-48-6-1743

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using a Krasnoselskii-type fixed point theorem due to Burton [7], we discuss the existence of integrable solutions of general quadratic-Urysohn integral equations on a bounded interval (a,b). Uniqueness of the solution is also studied. An example to illustrate our theory is also included.

引用

页码：1743 / 1762

页数：20

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