Parameter estimation by quasilinearization in functional differential equations with state-dependent delays

A numerical study

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

In this paper we study a parameter estimation method in functional differential equations using quasilinearization technique. We define the method and test its applicability in numerical examples. We estimate infinite dimensional parameters such as coefficient functions, delay functions and initial functions in state-dependent delay equations.

Original languageEnglish
Pages (from-to)4557-4566
Number of pages10
JournalNonlinear Analysis
Volume47
Issue number7
DOIs
Publication statusPublished - Aug 2001

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State-dependent Delay
Quasilinearization
Functional Differential Equations
Parameter estimation
Parameter Estimation
Numerical Study
Differential equations
Delay Equations
Numerical Examples
Coefficient
Estimate

Keywords

  • Parameter estimation
  • Quasilinearization
  • State-dependent delays

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Mathematics(all)

Cite this

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title = "Parameter estimation by quasilinearization in functional differential equations with state-dependent delays: A numerical study",
abstract = "In this paper we study a parameter estimation method in functional differential equations using quasilinearization technique. We define the method and test its applicability in numerical examples. We estimate infinite dimensional parameters such as coefficient functions, delay functions and initial functions in state-dependent delay equations.",
keywords = "Parameter estimation, Quasilinearization, State-dependent delays",
author = "F. Hartung",
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KW - State-dependent delays

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JO - Nonlinear Analysis, Theory, Methods and Applications

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