Aspects of the behaviour of solutions of nonlinear Abel equations
type: Item
instance of: scholarly article
title: Aspects of the behaviour of solutions of nonlinear Abel equations
zbMATH Open document ID: 1030.45003
DOI: 10.1016/S0362-546X(03)00135-4
author: R. Benítez
author: M. R. Arias
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-09-07T00:00:00Z
review text: The authors study properties of the behavior (uniqueness, local boundedness, attracting behavior etc.) of positive solutions of the Volterra equation \(u(x)=\int_0^x k(x-s) g(u(s)) ds\) and its particular case (Abel equation) when \(k(x)=x^{\alpha}\), \(-1 <\alpha < 0\).
Mathematics Subject Classification ID: 45G05
Mathematics Subject Classification ID: 45M20
zbMATH DE Number: 1975864
zbMATH Keywords: nonlinear Abel equation
zbMATH Keywords: nonlinear Volterra equation
zbMATH Keywords: nonlinear integral equation
zbMATH Keywords: attracting solution
zbMATH Keywords: positive solutions
reviewed by: Vladimir Mityushev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1975864