A note on integrable solutions of Hammerstein integral equations
type: Item
instance of: scholarly article
title: A note on integrable solutions of Hammerstein integral equations
zbMATH Open document ID: 0849.45002
DOI: 10.1007/BF02840593
author: S. Ilamaran
author: Krishnan Balachandran
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1996-11-10T00:00:00Z
review text: The authors consider the equation \[ x(t) = g \bigl( t,x(t) \bigr) + \int^1_0 k(t,s) f \biggl( t,x \bigl( \sigma (s) \bigr) \biggr )ds \quad 0 \leq t \leq 1, \] and state an existence result. [Whether anything, except for the existence of the trivial solution \(x = 0\), is actually proved remains unclear to the reviewer].
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 813851
zbMATH Keywords: integrable solutions
zbMATH Keywords: Hammerstein integral equations
zbMATH Keywords: fixed point theorem
zbMATH Keywords: existence
reviewed by: Stig-Olof Londen
MaRDI profile type: Publication
cites work: Q4748689
cites work: Q3817127
cites work: Q3997912
cites work: Q5185568
cites work: Integrable solutions of hammerstein
cites work: Q4692887
full work available at URL: https://doi.org/10.1007/bf02840593
OpenAlex ID: W2085840701
description: scientific article; zbMATH DE number 813851