AN APPLICATION OF DARBO FIXED- POINT THEOREM TO A CLASS OF FUNCTIONAL INTEGRAL EQUATIONS

被引：13

作者：

Cakan, Umit ^{[1
]}

Ozdemir, Ismet ^{[2
]}

机构：

[1] Nevsehir Haci Bektas Veli Univ, Fen Edebiyat Fak, Matemat Bolumu, TR-50300 Nevsehir, Turkey

[2] Inonu Univ, Egitim Fak, Malatya, Turkey

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2015年 / 36卷 / 01期

关键词：

Darbo fixed-point theorem; Measure of noncompactness; Nonlinear integral equations; 45M99; 47H09;

D O I：

10.1080/01630563.2014.951771

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, using Darbo's fixed-point theorem associated with the measure of noncompactness, we prove a theorem on the existence of the solutions of some nonlinear functional integral equations in the space of continuous functions on interval [0, a]. Our existence results include several existence results obtained earlier by Maleknejad et al. [7] and ozdemir et al. [8] as special cases under some weaker conditions. We give also some examples which show that our results are applicable.

引用

页码：29 / 40

页数：12

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