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Artículo
Almost Periodic and Asymptotically Almost Periodic Solutions of Liénard Equations
dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Cheban, David | |
dc.date.accessioned | 2015-04-08T10:27:06Z | |
dc.date.available | 2015-04-08T10:27:06Z | |
dc.date.issued | 2011 | es |
dc.identifier.citation | Caraballo Garrido, T. y Cheban, D. (2011). Almost Periodic and Asymptotically Almost Periodic Solutions of Liénard Equations. Discrete and Continuous Dynamical Systems. Series B, 16 (3), 703-717. | es |
dc.identifier.issn | 1531-3492 | es |
dc.identifier.uri | http://hdl.handle.net/11441/23638 | |
dc.description.abstract | The aim of this paper is to study the almost periodic and asymptotically almost periodic solutions on (0,+1) of the Li´enard equation x′′ + f(x)x′ + g(x) = F(t), where F : T ! R (T = R+ or R) is an almost periodic or asymptotically almost periodic function and g : (a, b) ! R is a strictly decreasing function. We study also this problem for the vectorial Li´enard equation. We analyze this problem in the framework of general non-autonomous dynamical systems (cocycles). We apply the general results obtained in our early papers [3, 7] to prove the existence of almost periodic (almost automorphic, recurrent, pseudo recurrent) and asymptotically almost periodic (asymptotically almost automorphic, asymptotically recurrent, asymptotically pseudo recurrent) solutions of Li´enard equations (both scalar and vectorial). | |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Discrete and Continuous Dynamical Systems. Series B, 16(3), 703-717 | es |
dc.rights | Atribución-NoComercial-SinDerivadas 4.0 España | es |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0 | es |
dc.subject | Non-autonomous dynamical systems | |
dc.subject | skew-product systems | |
dc.subject | cocycles | |
dc.subject | global attractor | |
dc.subject | convergent systems | |
dc.subject | quasi-periodic | |
dc.subject | almost periodic | |
dc.subject | almost automorphic | |
dc.subject | recurrent solutions | |
dc.subject | asymptotically almost periodic solutions | |
dc.subject | Lienard equation | |
dc.title | Almost Periodic and Asymptotically Almost Periodic Solutions of Liénard Equations | es |
dc.type | info:eu-repo/semantics/article | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.identifier.doi | 10.3934/dcdsb.2011.16.703 | es |
dc.journaltitle | Discrete and Continuous Dynamical Systems. Series B | es |
dc.publication.volumen | 16 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 703 | es |
dc.publication.endPage | 717 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/23638 |
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