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Smooth centre manifolds for impulsive delay differential equations
| dc.contributor.author | Church, Kevin E. M. | |
| dc.contributor.author | Liu, Xinzhi | |
| dc.date.accessioned | 2018-04-18 18:27:33 (GMT) | |
| dc.date.available | 2018-04-18 18:27:33 (GMT) | |
| dc.date.issued | 2018-04-16 | |
| dc.identifier.issn | 0022-0396 | |
| dc.identifier.uri | https://doi.org/10.1016/j.jde.2018.04.021 | |
| dc.identifier.uri | http://hdl.handle.net/10012/13105 | |
| dc.description | Preprint of an article published in Journal of Differential Equations, available at: https://doi.org/10.1016/j.jde.2018.04.021 | en |
| dc.description.abstract | The existence and smoothness of centre manifolds and a reduction principle are proven for impulsive delay differential equations. Several intermediate results of theoretical interest are developed, including a variation of constants formula for linear equations in the phase space of right-continuous regulated functions, linear variational equation and smoothness of the nonautonomous process, and a Floquet theorem for periodic systems. Three examples are provided to illustrate the results. | en |
| dc.description.sponsorship | National Sciences and Engineering Research Council of Canada, Alexander Graham Bell Canada Graduate Scholarships-Doctoral Program | en |
| dc.language.iso | en | en |
| dc.publisher | Elsevier | en |
| dc.subject | Centre manifold | en |
| dc.subject | Impulsive delay differential equation | en |
| dc.subject | Lyapunov–Perron method | en |
| dc.subject | Variation-of-constants formula | en |
| dc.subject | Floquet theorem | en |
| dc.title | Smooth centre manifolds for impulsive delay differential equations | en |
| dc.type | Preprint | en |
| dcterms.bibliographicCitation | Kevin E.M. Church, Xinzhi Liu, Smooth centre manifolds for impulsive delay differential equations, Journal of Differential Equations, Available online 16 April 2018, ISSN 0022-0396, https://doi.org/10.1016/j.jde.2018.04.021 | en |
| uws.contributor.affiliation1 | Faculty of Mathematics | en |
| uws.contributor.affiliation2 | Applied Mathematics | en |
| uws.typeOfResource | Text | en |
| uws.peerReviewStatus | Reviewed | en |
| uws.scholarLevel | Graduate | en |
