Identification of the initial function for nonlinear delay differential equations

Hdl Handle:
http://hdl.handle.net/10034/67637
Title:
Identification of the initial function for nonlinear delay differential equations
Authors:
Baker, Christopher T. H.; Parmuzin, Evgeny I.
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.
Affiliation:
University College Chester ; Institute of Numerical Mathematics, Russian Academy of Sciences
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
Publication Date:
2005
URI:
http://hdl.handle.net/10034/67637
DOI:
10.1515/1569398053270831
Additional Links:
http://www.reference-global.com/loi/rnam
Type:
Article
Language:
en
Description:
This journal article is not available through ChesterRep.
ISSN:
0927-6467; 1569-3988
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorBaker, Christopher T. H.en
dc.contributor.authorParmuzin, Evgeny I.en
dc.date.accessioned2009-05-08T11:11:23Zen
dc.date.available2009-05-08T11:11:23Zen
dc.date.issued2005en
dc.identifier.citationRussian Journal of Numerical Analysis and Mathematical Modelling, 2005, 20, pp. 45-66en
dc.identifier.issn0927-6467en
dc.identifier.issn1569-3988en
dc.identifier.doi10.1515/1569398053270831en
dc.identifier.urihttp://hdl.handle.net/10034/67637en
dc.descriptionThis journal article is not available through ChesterRep.en
dc.description.abstractWe 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.en
dc.language.isoenen
dc.publisherde Gruyteren
dc.relation.urlhttp://www.reference-global.com/loi/rnamen
dc.subjectnonlinear delay differential equationsen
dc.titleIdentification of the initial function for nonlinear delay differential equationsen
dc.typeArticleen
dc.contributor.departmentUniversity College Chester ; Institute of Numerical Mathematics, Russian Academy of Sciencesen
dc.identifier.journalRussian Journal of Numerical Analysis and Mathematical Modellingen
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