Analytic solutions of a functional differential equation with a state derivative dependent delay
type: Item
instance of: scholarly article
title: Analytic solutions of a functional differential equation with a state derivative dependent delay
zbMATH Open document ID: 0959.34061
author: Jianguo Si
author: Xinping Wang
author: Sui Sun Cheng
published in: Aequationes Mathematicae
publication date: 2001-04-22T00:00:00Z
review text: The authors consider analytic solutions to the state dependent functional-differential equation of the form \[ \alpha z+\beta x''(z)=x(az+bx''(z)), \] where \(\alpha\), \(\beta\), \(a\), \(b\) are complex numbers. Existence theorems are established and the ways to deriving explicite solutions in different cases are shown.
Mathematics Subject Classification ID: 34K17
Mathematics Subject Classification ID: 34K23
zbMATH DE Number: 1295531
zbMATH Keywords: functional-differential equations
zbMATH Keywords: state derivative dependent delay
zbMATH Keywords: analytic solutions
MaRDI profile type: Publication
full work available at URL: s000100050071
OpenAlex ID: W2086743573
Wikidata QID: Q115390173
DOI: 10.1007/S000100050071
description: scientific article; zbMATH DE number 1295531