dc.creator | Munhoz Rodrigues, Hildebrando | es |
dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Fuzeto Gameiro, Marcio | es |
dc.date.accessioned | 2017-12-11T09:36:28Z | |
dc.date.available | 2017-12-11T09:36:28Z | |
dc.date.issued | 2017-11 | |
dc.identifier.citation | Munhoz Rodrigues, H., Caraballo Garrido, T. y Fuzeto Gameiro, M. (2017). Dynamics of a class of ODEs via wavelets. Communications on Pure and Applied Analysis, 16 (6), 2337-2355. | |
dc.identifier.issn | 1534-0392 | es |
dc.identifier.issn | 1553-5258 | es |
dc.identifier.uri | http://hdl.handle.net/11441/67399 | |
dc.description.abstract | The objective of this paper is to study a perturbed linear hyperbolic
differential equation. The first part of this work is dedicated to study
perturbation of the equilibrium (special solution) of a perturbed hyperbolic
system. On the second part we analyze the stable and the unstable manifolds
of a perturbed semilinear differential equation. We assume that the perturbed
forcing function belongs to an L2 class and that it is developed in a series of
wavelets. Then we analyze the effect of this development on the special solution of the perturbed equation. Similar study is provided for the stable and
unstable manifolds of this special solutions. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo | es |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (Brasil) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | American Institute of Mathematical Sciences | es |
dc.relation.ispartof | Communications on Pure and Applied Analysis, 16 (6), 2337-2355. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Wavelet and scaling functions | es |
dc.subject | Multiresolution analysis | es |
dc.subject | Perturbation of equilibria | es |
dc.subject | Stable and unstable manifolds | es |
dc.subject | Special solutions | es |
dc.subject | Pullback attractor | es |
dc.title | Dynamics of a class of ODEs via wavelets | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | 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.relation.projectID | MTM2015-63723-P | es |
dc.relation.projectID | P12-FQM-1492 | es |
dc.relation.projectID | 2013/07460-7 | es |
dc.relation.projectID | 2016/08704-5 | es |
dc.relation.projectID | 305860/2013-5 | es |
dc.relation.publisherversion | http://www.aimsciences.org/journals/doIpChk.jsp?paperID=14418&mode=full | es |
dc.identifier.doi | 10.3934/cpaa.2017115 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
idus.format.extent | 21 p. | es |
dc.journaltitle | Communications on Pure and Applied Analysis | es |
dc.publication.volumen | 16 | es |
dc.publication.issue | 6 | es |
dc.publication.initialPage | 2337 | es |
dc.publication.endPage | 2355 | es |