Stability results for nonlinear functional differential equations using fixed point methods
type: Item
instance of: scholarly article
title: Stability results for nonlinear functional differential equations using fixed point methods
zbMATH Open document ID: 1388.34064
author: Guiling Chen
author: Dingshi Li
author: O. W. van Gaans
author: Sjoerd M. Verduyn Lunel
published in: Indagationes Mathematicae. New Series
publication date: 2018-03-16T00:00:00Z
review text: The aim of this paper is to study the fixed point method in a systematic way and to unify recent results in the literature by considering three general classes of functional differential equations. For each of these classes the authors combine different techniques to prove new stability theorems. In addition, a number of examples are presented to illustrate the obtained results.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6851106
zbMATH Keywords: fixed point theory
zbMATH Keywords: asymptotic stability
zbMATH Keywords: contraction mapping principle
reviewed by: Alexander O. Ignatyev
MaRDI profile type: Publication
full work available at URL: j.indag.2017.11.004
OpenAlex ID: W2770355390
cites work: Stability, fixed points and inverses of delays
cites work: Fixed points and problems in stability theory for ordinary and functional differential equations
cites work: Q4470089
cites work: Q4818766
cites work: Q3592165
cites work: Fixed points and stability in nonlinear equations with variable delays
cites work: Q5488850
cites work: Fixed points and stability in neutral differential equations with variable delays
cites work: Stability in functional differential equations established using fixed point theory
cites work: Stability of an integro-differential equation
cites work: Stability in neutral nonlinear differential equations with functional delays using fixed-point theory
DOI: 10.1016/J.INDAG.2017.11.004
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description: scientific article; zbMATH DE number 6851106