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Floquet theory for second order linear homogeneous difference equations
dc.contributor.author | Encinas Bachiller, Andrés Marcos |
dc.contributor.author | Jiménez Jiménez, María José |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2015-12-15T08:34:54Z |
dc.date.available | 2016-11-07T01:30:47Z |
dc.date.issued | 2015-11-05 |
dc.identifier.citation | Encinas, A., Jiménez, M.J. Floquet theory for second order linear homogeneous difference equations. "Journal of difference equations and applications", 2016, v. 22, n. 3, p. 353-375 |
dc.identifier.issn | 1023-6198 |
dc.identifier.uri | http://hdl.handle.net/2117/80510 |
dc.description | This is an Accepted Manuscript of an article published by Taylor & Francis Group in Journal of Difference Equations and Applications on 05/11/2015, available online: http://www.tandfonline.com/10.1080/10236198.2015.1100609 |
dc.description.abstract | In this paper we provide a version of the Floquet’s theorem to be applied to any second order difference equations with quasi-periodic coefficients. To do this we extend to second order linear difference equations with quasi-periodic coefficients, the known equivalence between the Chebyshev equations and the second order linear difference equations with constant coefficients. So, any second order linear difference equations with quasi-periodic coefficients is essentially equivalent to a Chebyshev equation, whose parameter only depends on the values of the quasi-periodic coefficients and can be determined by a non-linear recurrence. Moreover, we solve this recurrence and obtaining a closed expression for this parameter. As a by-product we also obtain a Floquet’s type result; that is, the necessary and sufficient condition for the equation has quasi-periodic solutions. |
dc.format.extent | 23 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en diferències |
dc.subject.lcsh | Floquet theory |
dc.subject.lcsh | Difference equations |
dc.subject.other | Difference equations |
dc.subject.other | Floquet theory |
dc.subject.other | Periodic sequences |
dc.subject.other | Chebyshev polynomials |
dc.title | Floquet theory for second order linear homogeneous difference equations |
dc.type | Article |
dc.subject.lemac | Equacions en diferències |
dc.contributor.group | Universitat Politècnica de Catalunya. COMPTHE - Combinatòria i Teoria Discreta del Potencial pel control de paràmetres en xarxes |
dc.identifier.doi | 10.1080/10236198.2015.1100609 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::39 Difference and functional equations::39A Difference equations |
dc.subject.ams | Classificació AMS::11 Number theory::11B Sequences and sets |
dc.subject.ams | Classificació AMS::33 Special functions::33C Hypergeometric functions |
dc.rights.access | Open Access |
local.identifier.drac | 17255675 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/MINECO//MTM2014-60450-R/ES/LA RESISTENCIA EFECTIVA COMO HERRAMIENTA PARA EL ESTUDIO DEL PROBLEMA INVERSO DE LAS CONDUCTANCIAS Y EL ANALISIS DE LAS PERTURBACIONES DE REDES/ |
local.citation.author | Encinas, A.; Jiménez, M.J. |
local.citation.publicationName | Journal of difference equations and applications |
local.citation.volume | 22 |
local.citation.number | 3 |
local.citation.startingPage | 353 |
local.citation.endingPage | 375 |
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