The existence and attractivity of solutions of an Urysohn integral equation on an unbounded interval
type: Item
instance of: scholarly article
title: The existence and attractivity of solutions of an Urysohn integral equation on an unbounded interval
zbMATH Open document ID: 1297.45008
DOI: 10.1155/2013/147409
author: Mohamed Abdalla Darwish
author: Ebraheem O. Alzahrani
author: Józef Banaś
published in: Abstract and Applied Analysis
publication date: 2014-06-20T00:00:00Z
review text: Summary: We prove a result on the existence and uniform attractivity of solutions of an Urysohn integral equation. Our considerations are conducted in the Banach space consisting of real functions which are bounded and continuous on the nonnegative real half axis. The main tool used in investigations is the technique associated with the measures of noncompactness and a fixed point theorem of Darbo type. An example showing the utility of the obtained results is also included.
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 47H08
Mathematics Subject Classification ID: 47H30
zbMATH DE Number: 6306063
zbMATH Keywords: uniform attractivity
zbMATH Keywords: Urysohn integral equation
zbMATH Keywords: measures of noncompactness
zbMATH Keywords: fixed point theorem of Darbo type
Wikidata QID: Q58915364
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/147409
OpenAlex ID: W2123706650
cites work: Compactness conditions in the study of functional, differential, and integral equations
cites work: Q5185568
cites work: Q4069857
cites work: Q4045174
cites work: Q3645896
cites work: Q3997912
cites work: Existence principles for nonlinear resonant operator and integral equations
cites work: Solvability of a quadratic Hammerstein integral equation in the class of functions having limits at infinity
cites work: Q3535016
cites work: Nondecreasing solutions of a quadratic integral equation of Urysohn-Stieltjes type
cites work: Nondecreasing solutions of a quadratic Abel equation with supremum in the kernel
cites work: Schauder-Tychonoff fixed-point theorem in theory of superconductivity
cites work: Fixed point theorems in the Fréchet space \(\mathcal C(\mathbb R_+)\) and functional integral equations on an unbounded interval
cites work: Q2997132
cites work: On global existence and attractivity results for nonlinear functional integral equations
cites work: Existence and local attractivity of solutions of a nonlinear quadratic functional integral equation
cites work: Monotonic solutions of a convolution functional-integral equation
cites work: The global attractivity and asymptotic stability of solution of a nonlinear integral equation
cites work: Hammerstein equations with an integral over a noncompact domain
cites work: Q3883053
description: scientific article; zbMATH DE number 6306063