Identification of the initial function for nonlinear delay differential equations
Baker, Christopher T. H. Parmuzin, Evgeny I.
Baker, Christopher T. H.
Parmuzin, Evgeny I.
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EPub Date
Publication Date
2005
Submitted Date
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Abstract
We consider a 'data assimilation problem' for nonlinear delay differential equations. Our problem is to find an initial function that gives rise to a solution of a given nonlinear delay differential equation, which is a close fit to observed data. A role for adjoint equations and fundamental solutions in the nonlinear case is established. A 'pseudo-Newton' method is presented. Our results extend those given by the authors in [(C. T. H. Baker and E. I. Parmuzin, Identification of the initial function for delay differential equation: Part I: The continuous problem & an integral equation analysis. NA Report No. 431, MCCM, Manchester, England, 2004.), (C. T. H. Baker and E. I. Parmuzin, Analysis via integral equations of an identification problem for delay differential equations. J. Int. Equations Appl. (2004) 16, 111–135.)] for the case of linear delay differential equations.
Citation
Russian Journal of Numerical Analysis and Mathematical Modelling, 2005, 20, pp. 45-66
Publisher
De Gruyter
Journal
Russian Journal of Numerical Analysis and Mathematical Modelling
Research Unit
DOI
10.1515/1569398053270831
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PubMed Central ID
Type
Article
Language
en
Description
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Series/Report no.
ISSN
0927-6467
1569-3988
1569-3988