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On bifurcation and symmetry of solutions of symmetric nonlinear equations with odd-harmonic forcings

dc.contributor.authorGalante, L. F.
dc.contributor.authorRodrigues, H. M.
dc.contributor.institutionGEORGIA INST TECHNOL
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T15:29:24Z
dc.date.available2014-05-20T15:29:24Z
dc.date.issued1995-12-01
dc.description.abstractIn this work we study existence, bifurcation, and symmetries of small solutions of the nonlinear equation Lx = N(x, p, epsilon) + mu f, which is supposed to be equivariant under the action of a group OHm, and where f is supposed to be OHm-invariant. We assume that L is a linear operator and N(., p, epsilon) is a nonlinear operator, both defined in a Banach space X, with values in a Banach space Z, and p, mu, and epsilon are small real parameters. Under certain conditions we show the existence of symmetric solutions and under additional conditions we prove that these are the only feasible solutions. Some examples of nonlinear ordinary and partial differential equations are analyzed. (C) 1995 Academic Press, Inc.en
dc.description.affiliationGEORGIA INST TECHNOL,ATLANTA,GA 30332
dc.description.affiliationUSP,ICMSC,SAO CARLOS,SP,BRAZIL
dc.format.extent526-553
dc.identifierhttp://dx.doi.org/10.1006/jmaa.1995.1424
dc.identifier.citationJournal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Jnl-comp Subscriptions, v. 196, n. 2, p. 526-553, 1995.
dc.identifier.doi10.1006/jmaa.1995.1424
dc.identifier.fileWOSA1995TK76900009.pdf
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/11449/38998
dc.identifier.wosWOS:A1995TK76900009
dc.language.isoeng
dc.publisherAcademic Press Inc. Jnl-comp Subscriptions
dc.relation.ispartofJournal of Mathematical Analysis and Applications
dc.relation.ispartofjcr1.138
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.titleOn bifurcation and symmetry of solutions of symmetric nonlinear equations with odd-harmonic forcingsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderAcademic Press Inc. Jnl-comp Subscriptions
dspace.entity.typePublication

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