Dynamics of a class of ODEs via wavelets

Munhoz Rodrigues, Hildebrando; Caraballo Garrido, Tomás; Fuzeto Gameiro, Marcio

doi:10.3934/cpaa.2017115

Artículo

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

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