Monotone iterative techniques for nonlinear problems involving the difference of two monotone functions.
type: Item
instance of: scholarly article
title: Monotone iterative techniques for nonlinear problems involving the difference of two monotone functions.
zbMATH Open document ID: 1035.34002
DOI: 10.1016/S0096-3003(01)00242-9
author: F. A. McRae
author: Gnana Bhaskar Tenali
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
review text: Consider the scalar initial value problem \((*) \;du/dt = f(t,u)+g(t,u), \;u(0)=0,\) under the condition that \(f\) is monotone increasing and \(g\) is monotone decreasing in \(u\). The authors prove a theorem on the convergence of a monotone iteration scheme provided coupled lower and upper solutions exist.
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 1861248
zbMATH Keywords: upper and lower solutions
zbMATH Keywords: monotone iteration scheme
reviewed by: Klaus R. Schneider
MaRDI profile type: Publication
cites work: Q3807603
cites work: Q4397695
cites work: Q3994920
full work available at URL: s0096-3003(01)00242-9
OpenAlex ID: W2160316106
description: scientific article; zbMATH DE number 1861248