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

被引：16

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

共 8 条

[1]

Bana J, 1980, LECT NOTES PURE APPL, V60

[2] Monotonic solutions of a quadratic integral equation of Volterra type [J].

Banas, J ;

Martinon, A .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (2-3) :271-279

[3] Compactness Conditions in the Study of Functional, Differential, and Integral Equations [J].

Banas, Jozef ;

Sadarangani, Kishin .

ABSTRACT AND APPLIED ANALYSIS, 2013,

[4] Existence and global attractivity of solutions of a nonlinear functional integral equation [J].

Banas, Jozef ;

Balachandran, Krishnan ;

Julie, Diana .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (01) :261-268

[5]

Deimling K., 1985, Nonlinear Functional Analysis

[6] Investigation on the existence of solutions for some nonlinear functional-integral equations [J].

Maleknejad, K. ;

Nouri, K. ;

Mollapourasl, R. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) :E1575-E1578

[7]

ozdemir, 2013, ABSTR APPL ANAL

[8]

Shouchuan Hu, 1989, Applicable Analysis, V34, P261, DOI 10.1080/00036818908839899

← 1 →