Identification of the initial function for nonlinear delay differential equations
Affiliation
University College Chester ; Institute of Numerical Mathematics, Russian Academy of SciencesPublication Date
2005
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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. 45-66Publisher
De GruyterAdditional Links
http://www.reference-global.com/loi/rnamType
ArticleLanguage
enDescription
This journal article is not available through ChesterRep.ISSN
0927-64671569-3988
ae974a485f413a2113503eed53cd6c53
10.1515/1569398053270831