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dc.contributor.author
Amster, Pablo Gustavo
dc.contributor.author
Clapp, Mónica
dc.date.available
2017-04-06T20:43:45Z
dc.date.issued
2011-06
dc.identifier.citation
Amster, Pablo Gustavo; Clapp, Mónica; Periodic solutions of resonant systems with rapidly rotating nonlinearities; Amer Inst Mathematical Sciences; Discrete And Continuous Dynamical Systems; 31; 2; 6-2011; 373-383
dc.identifier.issn
1078-0947
dc.identifier.uri
http://hdl.handle.net/11336/14915
dc.description.abstract
We obtain existence of T -periodic solutions to a second order system of ordinary differential equations of the form u´´ + cu´ + g(u) = p where c ∈ R, p ∈ C(R,R^N) is T -periodic and has mean value zero, and g ∈ C(R^N,R^N) is e.g. sublinear. In contrast with a well known result by Nirenberg, where it is assumed that the nonlinearity g has non-zero uniform radial limits at infinity, our main result allows rapid rotations in g.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Amer Inst Mathematical Sciences
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Nonlinear Systems
dc.subject
Periodic Solutions
dc.subject
Rapidly Rotating Nonlinearities
dc.subject
Resonant Problems
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Periodic solutions of resonant systems with rapidly rotating nonlinearities
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-04-05T15:12:31Z
dc.journal.volume
31
dc.journal.number
2
dc.journal.pagination
373-383
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Amster, Pablo Gustavo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.description.fil
Fil: Clapp, Mónica. Universidad Nacional Autónoma de México; México
dc.journal.title
Discrete And Continuous Dynamical Systems
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=6295
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.3934/dcds.2011.31.373
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