Differentiable solutions of equations involving iterated functional series
type: Item
instance of: scholarly article
title: Differentiable solutions of equations involving iterated functional series
zbMATH Open document ID: 1167.39309
DOI: 10.1155/2008/636843
author: Wei Song
published in: Abstract and Applied Analysis
publication date: 2009-03-30T00:00:00Z
full work available at URL: https://eudml.org/doc/55836
review text: Summary: The nonmonotonic differentiable solutions of equations involving iterated functional series are investigated. Conditions for the existence, uniqueness, and stability of such solutions are given. These extend earlier results due to \textit{V. Murugan} and \textit{P. V. Subrahmanyam} [Fixed Point Theory Appl. 2005, No.~2, 219--232 (2005; Zbl 1101.39007)].
Mathematics Subject Classification ID: 39B12
Mathematics Subject Classification ID: 39B52
zbMATH DE Number: 5534788
Wikidata QID: Q58644376
MaRDI profile type: Publication
OpenAlex ID: W2031177413
cites work: Q4040882
cites work: Recent results on functional equations in a single variable, perspectives and open problems
cites work: On the functional equation \(f(p+qx+rf(x))=a+bx+cf(x)\)
cites work: Q4154509
cites work: Q4183154
cites work: On a functional equation involving iterates of a bijection on the unit interval
cites work: Q3781512
cites work: Q3814148
cites work: Discussion on the differentiable solutions of the iterated equation
cites work: Q4888676
cites work: Q4714915
cites work: Q5289396
cites work: Iterative functional equations in the class of Lipschitz functions
cites work: Convex solutions of polynomial-like iterative equations
cites work: Decreasing solutions and convex solutions of the polynomial-like iterative equation
cites work: Q4864924
cites work: Differentiable solutions of an iterative functional equation
cites work: Existence of solutions for equations involving iterated functional series
cites work: Special solutions of a general iterative functional equation
cites work: Differentiability for the high dimensional polynomial-like iterative equation
cites work: Existence, uniqueness and stability of \(C^m\) solutions of iterative functional equations
description: scientific article; zbMATH DE number 5534788