Existence and global attractivity of solutions of a nonlinear functional integral equation

被引：14

作者：

Banas, Jozef ^{[1
,2
]}

Balachandran, Krishnan ^{[3
]}

Julie, Diana ^{[3
]}

机构：

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

[2] Bronislaw Markiewicz State Sch Higher Vocat Educ, Dept Math & Nat Sci, PL-37500 Jaroslaw, Poland

[3] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 01期

关键词：

Functional integral equation with deviating arguments; Attractive solution; Banach space; Fixed point theorem of Krasnosel'skii type; ASYMPTOTIC STABILITY;

D O I：

10.1016/j.amc.2010.01.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove a result on the existence and global attractivity of solutions of a non-linear functional integral equations with deviating arguments. The investigations are placed in the Banach space of real functions defined, continuous and bounded on the real half-axis. The main tool used in consideration is a fixed point theorem of Krasnosel'skii type. A few examples illustrating the obtained results are also included. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：261 / 268

页数：8

共 20 条

[1]

Agarwal R.P., 2001, Infinite interval problems for differential, difference and integral equations

[2] On the Application of Measure of Noncompactness to the Existence of Solutions for Fractional Differential Equations [J].

Agarwal, Ravi P. ;

Benchohra, Mouffak ;

Seba, Djamila .

RESULTS IN MATHEMATICS, 2009, 55 (3-4) :221-230

[3]

[Anonymous], 1980, Lect. Notes Pure Appl. Math.

[4]

[Anonymous], 1980, FIXED POINT THEOREMS

[5]

BALACHANDRAN K, 2008, NONLINEAR FUNCT ANAL, V2, P313

[6] Solutions of some functional-integral equations in Banach algebra [J].

Banas, J ;

Sadarangani, K .

MATHEMATICAL AND COMPUTER MODELLING, 2003, 38 (3-4) :245-250

[7] An application of a measure of noncompactness in the study of asymptotic stability [J].

Banas, J ;

Rzepka, B .

APPLIED MATHEMATICS LETTERS, 2003, 16 (01) :1-6

[8] Global asymptotic stability of solutions of a functional integral equation [J].

Banas, Jozef ;

Dhage, Bapurao C. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (07) :1945-1952

[9] On existence and asymptotic behaviour of solutions of a functional integral equation [J].

Banas, Jozef ;

Cabrera, Ignacio J. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (10) :2246-2254

[10]

Burton T.A., 1983, Volterra Integral and Differential Equations

← 1 2 →