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Distributionally chaotic families of operators on Fréchet spaces

dc.contributor.authorConejero, J. Alberto
dc.contributor.authorKostić, Marko
dc.contributor.authorMiana, Pedro J.
dc.contributor.authormurillo arcila, marina
dc.date.accessioned2016-12-07T08:33:30Z
dc.date.available2016-12-07T08:33:30Z
dc.date.issued2016
dc.identifier.citationCONEJERO, J. ALBERTO, et al. Distributionally chaotic families of operators on Fréchet spaces. Communications on Pure and Applied Analysis, 2016, vol. 15, no 5, p. 1915-1939ca_CA
dc.identifier.issn1534-0392
dc.identifier.issn1553-5258
dc.identifier.urihttp://hdl.handle.net/10234/164922
dc.description.abstractThe existence of distributional chaos and distributional irregular vectors has been recently considered in the study of linear dynamics of operators and C0-semigroups. In this paper we extend some previous results on both notions to sequences of operators, C0-semigroups, C-regularized semigroups, and α-times integrated semigroups on Fréchet spaces. We also add a study of rescaled distributionally chaotic C0-semigroups. Some examples are provided to illustrate all these results.ca_CA
dc.description.sponsorShipThe first and fourth authors are supported in part by MEC Project MTM2010-14909, MTM2013-47093-P, and Programa de Investigaci´on 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. Arag´on, and Project UZCUD2014-CIE-09, Universidad de Zaragoza. The forth author is supported by a grant of the FPU Program of Ministry of education of Spain.ca_CA
dc.format.extent24 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherAmerican Institute of Mathematical Sciencesca_CA
dc.relation.isPartOfCommunications on Pure and Applied Analysis, 2016, vol. 15, no 5ca_CA
dc.rightsCopyright © Elsevier B.V.ca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectdistributional chaosca_CA
dc.subjectintegrated semigroupsca_CA
dc.subjectC-regularized semigroupsca_CA
dc.subjectcosine functionsca_CA
dc.subjectabstract time-fractional equationsca_CA
dc.subjecthypercyclicityca_CA
dc.subjectwell-posednessca_CA
dc.subjectFréchet spacesca_CA
dc.titleDistributionally chaotic families of operators on Fréchet spacesca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.3934/cpaa.2016022
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttp://aimsciences.org/journals/displayArticlesnew.jsp?paperID=12699ca_CA
dc.type.versioninfo:eu-repo/semantics/sumittedVersion


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