On monotonic integrable solutions for quadratic functional integral equations
type: Item
instance of: scholarly article
title: On monotonic integrable solutions for quadratic functional integral equations
zbMATH Open document ID: 1279.45007
author: Mieczysław Cichoń
author: Mohamed M. A. Metwali
published in: Mediterranean Journal of Mathematics
publication date: 2013-05-17T00:00:00Z
review text: The object of this paper is to study the stability of a nonlinear Urysohn functional integral equation \[ x(t)= f_1(t, x(\Phi_1(t)))+ f_2(t, x(t)) \int^t_0 u(t,s,x(\Phi_2(s)))\,ds,\quad t\in L. \]
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 47H30
Mathematics Subject Classification ID: 45M10
Mathematics Subject Classification ID: 47H08
zbMATH DE Number: 6164339
zbMATH Keywords: monotonic solution
zbMATH Keywords: measure of noncompactness
zbMATH Keywords: superposition operator
zbMATH Keywords: stability
zbMATH Keywords: nonlinear Urysohn functional integral equation
reviewed by: Stefan Balint
MaRDI profile type: Publication
full work available at URL: s00009-012-0218-0
OpenAlex ID: W2043330462
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DOI: 10.1007/S00009-012-0218-0
description: scientific article; zbMATH DE number 6164339