Hyers-Ulam stability of a class second differential equation \(y''(x)+p(x)y'(x)+q(x)y(x)=F(y(x))\)
type: Item
instance of: scholarly article
title: Hyers-Ulam stability of a class second differential equation \(y''(x)+p(x)y'(x)+q(x)y(x)=F(y(x))\)
zbMATH Open document ID: 1368.34069
author: Xiangkui Zhao
author: Xingjuan Zhang
author: Weigao Ge
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2017-04-20T00:00:00Z
review text: By using a generalized fixed point theorem, the paper studies the Hyers-Ulam-Rassias stability and Hyers-Ulam stability for the class of second differential equations \[ y''(x)+p(x)y'(x)+q(x)y(x)=F(y(x)). \] In addition, by giving a counter-example, the authors show that the differential equation \[ y'(x)=F(x,y(x)) \] does not have on an infinite interval the Hyers-Ulam stability.
Mathematics Subject Classification ID: 34D10
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6706537
zbMATH Keywords: fixed point method
zbMATH Keywords: differential equation
zbMATH Keywords: Hyers-Ulam-Rassias stability
zbMATH Keywords: Hyers-Ulam stability
reviewed by: Ba Khiet Le
MaRDI profile type: Publication
Wikidata QID: Q115371794
full work available at URL: s40840-017-0454-3
OpenAlex ID: W2587444939
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DOI: 10.1007/S40840-017-0454-3
description: scientific article; zbMATH DE number 6706537