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Distributionally chaotic families of operators on Fréchet spaces

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Distributionally chaotic families of operators on Fréchet spaces

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dc.contributor.author Conejero, J. Alberto es_ES
dc.contributor.author Kostic, Marco es_ES
dc.contributor.author Miana Sanz, Pedro Jose es_ES
dc.contributor.author Murillo Arcila, Marina es_ES
dc.date.accessioned 2017-06-13T10:12:43Z
dc.date.available 2017-06-13T10:12:43Z
dc.date.issued 2016-09
dc.identifier.issn 1534-0392
dc.identifier.uri http://hdl.handle.net/10251/82721
dc.description This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Communications on Pure and Applied Analysis (CPAA) following peer review. The definitive publisher-authenticated version Conejero, J. A., Kostić, M., Miana, P. J., & Murillo-Arcila, M. (2016). Distributionally chaotic families of operators on Fréchet spaces.Communications on Pure and Applied Analysis, 2016, vol. 15, no 5, p. 1915-1939, is available online at: http://dx.doi.org/10.3934/cpaa.2016022 es_ES
dc.description.abstract The existence of distributional chaos and distributional irregular vectors has been recently considered in the study of linear dynamics of operators and C-0-semigroups. In this paper we extend some previous results on both notions to sequences of operators, C-0-semigroups, C-regularized semigroups, and alpha-timesintegrated semigroups on Frechet spaces. We also add a study of rescaled distributionally chaotic C-0-semigroups. Some examples are provided to illustrate all these results. es_ES
dc.description.sponsorship The first and fourth authors are supported in part by MEC Project MTM2010-14909, MTM2013-47093-P, and Programa de Investigacion y Desarrollo de la UPV, Ref. SP20120700. The second author is partially supported by grant 174024 of Ministry of Science and Technological Development, Republic of Serbia. The third author has been partially supported by Project MTM2013-42105-P, DGI-FEDER, of the MCYTS; Project E-64, D.G. Aragon, and Project UZCUD2014-CIE-09, Universidad de Zaragoza. The fourth author is supported by a grant of the FPU Program of Ministry of education of Spain. en_EN
dc.language Inglés es_ES
dc.publisher American Institute of Mathematical Sciences (AIMS) es_ES
dc.relation.ispartof Communications on Pure and Applied Analysis es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Distributional chaos es_ES
dc.subject Integrated semigroups es_ES
dc.subject C-regularized semigroups es_ES
dc.subject Cosine functions es_ES
dc.subject Abstract time-fractional equations es_ES
dc.subject Hypercyclicity es_ES
dc.subject Well-posedness es_ES
dc.subject Fréchet spaces es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Distributionally chaotic families of operators on Fréchet spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3934/cpaa.2016022
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-14909/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174024/RS/Methods of Functional and Harmonic Analysis and PDE with Singularities/
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-47093-P/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UPV//SP20120700/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-42105-P/ES/TEORIA DE OPERADORES Y GEOMETRIA EN ANALISIS/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UNIZAR//UZCUD2014-CIE-09/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escola Tècnica Superior d'Enginyeria Informàtica es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.description.bibliographicCitation Conejero, JA.; Kostic, M.; Miana Sanz, PJ.; Murillo Arcila, M. (2016). Distributionally chaotic families of operators on Fréchet spaces. Communications on Pure and Applied Analysis. 15(5):1915-1939. https://doi.org/10.3934/cpaa.2016022 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.3934/cpaa.2016022 es_ES
dc.description.upvformatpinicio 1915 es_ES
dc.description.upvformatpfin 1939 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 15 es_ES
dc.description.issue 5 es_ES
dc.relation.senia 325574 es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.contributor.funder Universidad de Zaragoza es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
dc.contributor.funder Ministry of Education, Science and Technological Development of the Republic of Serbia


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