Identification of the initial function for nonlinear delay differential equations
| dc.contributor.author | Baker, Christopher T. H. | * |
| dc.contributor.author | Parmuzin, Evgeny I. | * |
| dc.date.accessioned | 2009-05-08T11:11:23Z | |
| dc.date.available | 2009-05-08T11:11:23Z | |
| dc.date.issued | 2005 | |
| dc.identifier.citation | Russian Journal of Numerical Analysis and Mathematical Modelling, 2005, 20, pp. 45-66 | en |
| dc.identifier.issn | 0927-6467 | en |
| dc.identifier.issn | 1569-3988 | en |
| dc.identifier.doi | 10.1515/1569398053270831 | |
| dc.identifier.uri | http://hdl.handle.net/10034/67637 | |
| dc.description | This journal article is not available through ChesterRep. | en |
| dc.description.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. | |
| dc.language.iso | en | en |
| dc.publisher | De Gruyter | en |
| dc.relation.url | http://www.reference-global.com/loi/rnam | en |
| dc.subject | nonlinear delay differential equations | en |
| dc.title | Identification of the initial function for nonlinear delay differential equations | en |
| dc.type | Article | en |
| dc.contributor.department | University College Chester ; Institute of Numerical Mathematics, Russian Academy of Sciences | en |
| dc.identifier.journal | Russian Journal of Numerical Analysis and Mathematical Modelling | |
| html.description.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. |