Bounded solutions of delay dynamic equations on time scales
dc.contributor.author | Diblík, Josef | cs |
dc.contributor.author | Vítovec, Jiří | cs |
dc.coverage.issue | 1 | cs |
dc.coverage.volume | 2012 | cs |
dc.date.accessioned | 2019-02-13T11:57:32Z | |
dc.date.available | 2019-02-13T11:57:32Z | |
dc.date.issued | 2012-10-24 | cs |
dc.description.abstract | In this paper we discuss the asymptotic behavior of solutions of a delay dynamic equation $$y^{\Delta}(t)=f(t,y(\tau(t)))$$ where $f\colon\mathbb{T}\times\mathbb{R}\rightarrow\mathbb{R}$, \tau\colon\T\rightarrow \T$ is a delay function and $\mathbb{T}$ is a time scale. We formulate a principle which gives the guarantee that the graph of at least one solution of above mentioned equation stays in the prescribed domain. This principle uses the idea of the retraction method and is a suitable tool for investigating the asymptotic behavior of solutions of dynamic equations. This is illustrated by an example. | en |
dc.description.abstract | In this paper we discuss the asymptotic behavior of solutions of a delay dynamic equation $$y^{\Delta}(t)=f(t,y(\tau(t)))$$ where $f\colon\mathbb{T}\times\mathbb{R}\rightarrow\mathbb{R}$, \tau\colon\T\rightarrow \T$ is a delay function and $\mathbb{T}$ is a time scale. We formulate a principle which gives the guarantee that the graph of at least one solution of above mentioned equation stays in the prescribed domain. This principle uses the idea of the retraction method and is a suitable tool for investigating the asymptotic behavior of solutions of dynamic equations. This is illustrated by an example. | cs |
dc.format | text | cs |
dc.format.extent | 1-9 | cs |
dc.format.mimetype | application/pdf | cs |
dc.identifier.citation | Advances in Difference Equations. 2012, vol. 2012, issue 1, p. 1-9. | en |
dc.identifier.doi | 10.1186/1687-1847-2012-183 | cs |
dc.identifier.issn | 1687-1847 | cs |
dc.identifier.other | 96019 | cs |
dc.identifier.uri | http://hdl.handle.net/11012/137958 | |
dc.language.iso | en | cs |
dc.publisher | Springer Nature | cs |
dc.relation.ispartof | Advances in Difference Equations | cs |
dc.relation.uri | https://advancesindifferenceequations.springeropen.com/articles/10.1186/1687-1847-2012-183 | cs |
dc.rights | Creative Commons Attribution 2.0 Generic | cs |
dc.rights.access | openAccess | cs |
dc.rights.sherpa | http://www.sherpa.ac.uk/romeo/issn/1687-1847/ | cs |
dc.rights.uri | http://creativecommons.org/licenses/by/2.0/ | cs |
dc.subject | Asymptotic behavior | en |
dc.subject | delay dynamic equation | en |
dc.subject | time scale. | en |
dc.subject | Asymptotic behavior | |
dc.subject | delay dynamic equation | |
dc.subject | time scale. | |
dc.title | Bounded solutions of delay dynamic equations on time scales | en |
dc.title.alternative | Ohraničená řešení zpožděných dynamických rovnic na časových škálách | cs |
dc.type.driver | article | en |
dc.type.status | Peer-reviewed | en |
dc.type.version | publishedVersion | en |
sync.item.dbid | VAV-96019 | en |
sync.item.dbtype | VAV | en |
sync.item.insts | 2020.04.01 11:00:39 | en |
sync.item.modts | 2020.04.01 05:55:16 | en |
thesis.grantor | Vysoké učení technické v Brně. Fakulta stavební. Ústav matematiky a deskriptivní geometrie | cs |
thesis.grantor | Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematiky | cs |
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