Neutral integral equations of retarded type
type: Item
instance of: scholarly article
title: Neutral integral equations of retarded type
zbMATH Open document ID: 0961.45005
DOI: 10.1016/S0362-546X(98)00297-1
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2001-05-11T00:00:00Z
review text: The authors study the solvability problem for the system \[ x^\prime=\alpha x^\prime (t-h)+ax-q(t,x,y,x(t-h),y(t-h)), \] \[ y^\prime=\beta y^\prime (t-h)-ky -r(t,x,y,x(t-h),y(t-h)), \] by reducing this system to an integral equation of retarded type.
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 34K17
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 1512495
zbMATH Keywords: contraction mapping theorems
zbMATH Keywords: Lyapunov functions
zbMATH Keywords: fixed point
zbMATH Keywords: neutral integral equations of retarded type
author: T. A. Burton
author: Roger H. Hering
reviewed by: N. Karapetiants
MaRDI profile type: Publication
full work available at URL: s0362-546x(98)00297-1
OpenAlex ID: W1963857935
description: scientific article; zbMATH DE number 1512495