Parameter identification in classes of neutral differential equations with state-dependent delays
type: Item
instance of: scholarly article
title: Parameter identification in classes of neutral differential equations with state-dependent delays
zbMATH Open document ID: 0955.34067
DOI: 10.1016/S0362-546X(98)00169-2
author: Ferenc Hartung
author: Janos Turi
author: Terry L. Herdman
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2001-02-21T00:00:00Z
review text: The authors consider neutral functional-differential equations of the form \[ {d\over dt} (x(t)+ q(t)w(t- \tau(t, x(t))))= f(t,x(t), x(t- \sigma(t, x(t)))),\quad t\in [0,T], \] \[ x(t)= \varphi(t),\quad t\in [-r,0],\quad x\in\mathbb{R}^n, \] and establish theoretical convergence of a Euler-type approximation scheme, based on equations with piecewise constant arguments, for approximate solutions to corresponding parameter identification problems. There are some numerical examples illustrating the authors' identification method.
reviewed by: Sergei A. Mazanik
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 34K29
zbMATH DE Number: 1389529
zbMATH Keywords: parameter identification
zbMATH Keywords: neutral equations
zbMATH Keywords: state dependent delays
zbMATH Keywords: Euler method
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1389529