Delay differential equations: Detection of small solutions
dc.contributor.advisor | Ford, Neville J. | |
dc.contributor.author | Lumb, Patricia M. | * |
dc.date.accessioned | 2009-05-19T15:40:54Z | |
dc.date.available | 2009-05-19T15:40:54Z | |
dc.date.issued | 2004-04 | |
dc.identifier | uk.bl.ethos.402267 | |
dc.identifier.uri | http://hdl.handle.net/10034/68595 | |
dc.description.abstract | This thesis concerns the development of a method for the detection of small solutions to delay differential equations. The detection of small solutions is important because their presence has significant influence on the analytical prop¬erties of an equation. However, to date, analytical methods are of only limited practical use. Therefore this thesis focuses on the development of a reliable new method, based on finite order approximations of the underlying infinite dimen¬sional problem, which can detect small solutions. Decisions (concerning the existence, or otherwise, of small solutions) based on our visualisation technique require an understanding of the underlying methodol¬ogy behind our approach. Removing this need would be attractive. The method we have developed can be automated, and at the end of the thesis we present a prototype Matlab code for the automatic detection of small solutions to delay differential equations. | |
dc.language.iso | en | en |
dc.publisher | University of Liverpool (Chester College of Higher Education) | en |
dc.subject | delay differential equations | en |
dc.title | Delay differential equations: Detection of small solutions | en |
dc.type | Thesis or dissertation | en |
dc.publisher.department | University College Chester | en |
dc.type.qualificationname | PhD | en |
dc.type.qualificationlevel | Doctoral | en |
html.description.abstract | This thesis concerns the development of a method for the detection of small solutions to delay differential equations. The detection of small solutions is important because their presence has significant influence on the analytical prop¬erties of an equation. However, to date, analytical methods are of only limited practical use. Therefore this thesis focuses on the development of a reliable new method, based on finite order approximations of the underlying infinite dimen¬sional problem, which can detect small solutions. Decisions (concerning the existence, or otherwise, of small solutions) based on our visualisation technique require an understanding of the underlying methodol¬ogy behind our approach. Removing this need would be attractive. The method we have developed can be automated, and at the end of the thesis we present a prototype Matlab code for the automatic detection of small solutions to delay differential equations. | |
dc.rights.usage | The full-text may be used and/or reproduced in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-profit purposes provided that: - A full bibliographic reference is made to the original source - A link is made to the metadata record in ChesterRep - The full-text is not changed in any way - The full-text must not be sold in any format or medium without the formal permission of the copyright holders. - For more information please email researchsupport.lis@chester.ac.uk |