GRADIENT-LIKE NONLINEAR SEMIGROUPS WITH INFINITELY MANY EQUILIBRIA AND APPLICATIONS TO CASCADE SYSTEMS

dc.creatorAragao-Costa, ER
dc.creatorCarvalho, AN
dc.creatorMarin-Rubio, P
dc.creatorPlanas, G
dc.date2013
dc.dateDEC
dc.date2014-07-30T17:48:10Z
dc.date2015-11-26T17:46:43Z
dc.date2014-07-30T17:48:10Z
dc.date2015-11-26T17:46:43Z
dc.date.accessioned2018-03-29T00:29:17Z
dc.date.available2018-03-29T00:29:17Z
dc.identifierTopological Methods In Nonlinear Analysis. Juliusz Schauder Ctr Nonlinear Studies, v. 42, n. 2, n. 345, n. 376, 2013.
dc.identifier1230-3429
dc.identifierWOS:000328924100006
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/68161
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/68161
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1288571
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionWe consider an autonomous dynamical system coming from a coupled system in cascade where the uncoupled part of the system satisfies that the solutions comes from -infinity and goes to infinity to equilibrium points, and where the coupled part generates asymptotically a gradient-like nonlinear semigroup. Then, the complete model is proved to be also gradient-like. The interest of this extension comes, for instance, in models where a continuum of equilibrium points holds, and for example a Lojasiewicz-Simon condition is satisfied. Indeed, we illustrate the usefulness of the theory with several examples.
dc.description42
dc.description2
dc.description345
dc.description376
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionMinisterio de Ciencia e Innovacion (Spain) [MTM2008-00088]
dc.descriptionJunta de Andalucia grant [P07-FQM-02468]
dc.descriptionMinisterio de Educacion-DGPU (Spain) [PHB2010-0002-PC]
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionFAPESP [2008/50248-0, 2008/55516-3, 2008/09342-3]
dc.descriptionCNPq [305230/2011-5, 302865/2012-8]
dc.descriptionMinisterio de Ciencia e Innovacion (Spain) [MTM2008-00088]
dc.descriptionJunta de Andalucia grant [P07-FQM-02468]
dc.descriptionMinisterio de Educacion-DGPU (Spain) [PHB2010-0002-PC]
dc.descriptionCAPES [238/2011]
dc.languageen
dc.publisherJuliusz Schauder Ctr Nonlinear Studies
dc.publisherTorun
dc.publisherPolónia
dc.relationTopological Methods In Nonlinear Analysis
dc.relationTopol. Methods Nonlinear Anal.
dc.rightsfechado
dc.sourceWeb of Science
dc.subjectDynamical system
dc.subjectnonlinear semigroup
dc.subjectattractor
dc.subjectgradient-like semigroup
dc.subjectLojasiewicz-Simon inequality
dc.subjectEvolution-equations
dc.subjectBounded Solutions
dc.subjectPerturbation
dc.subjectDynamics
dc.subjectDomains
dc.titleGRADIENT-LIKE NONLINEAR SEMIGROUPS WITH INFINITELY MANY EQUILIBRIA AND APPLICATIONS TO CASCADE SYSTEMS
dc.typeArtículos de revistas


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