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    Identification of the initial function for nonlinear delay differential equations

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    Authors
    Baker, Christopher T. H.
    Parmuzin, Evgeny I.
    Affiliation
    University College Chester ; Institute of Numerical Mathematics, Russian Academy of Sciences
    Publication Date
    2005
    
    Metadata
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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
    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
    ae974a485f413a2113503eed53cd6c53
    10.1515/1569398053270831
    Scopus Count
    Collections
    Mathematics

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