On a difference equation motivated by a heat conduction problem
type: Item
instance of: scholarly article
title: On a difference equation motivated by a heat conduction problem
zbMATH Open document ID: 1179.39006
author: Jongyi Chen
published in: Taiwanese Journal of Mathematics
publication date: 2009-04-28T00:00:00Z
review text: The author studies the behaviour of the sequence \(\{\tau_n\}\) recursively defined by \[ \sum_{j=1}^nf\left(\sum_{s=j}^n\tau_s\right) =1,\quad n=1,2,\dots, \] where \(f\) is a continuous and strictly decreasing function on \((0,\infty)\), with \(f(0^+)\geq 1\), \(f(\infty)=0\), and \(\log f\) or \(\log|f'|\) is convex.
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 5548648
zbMATH Keywords: difference equation
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: heat conduction
reviewed by: Narcisa Apreutesei
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500405132
OpenAlex ID: W4241959664
DOI: 10.11650/TWJM/1500405132
description: scientific article; zbMATH DE number 5548648