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dc.contributor.authorClarke, Frank H.
dc.contributor.authorEkeland, Ivar
dc.date.accessioned2014-04-29T13:10:47Z
dc.date.available2014-04-29T13:10:47Z
dc.date.issued1982
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/13165
dc.language.isoenen
dc.subjectHamiltonian systemsen
dc.subject.ddc515en
dc.titleNonlinear oscillations and boundary value problems for Hamiltonian systemsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe prove the existence of solutions of various boundary-value problems for nonautonomous Hamiltonian systems with forcing terms x˙(t)=H′p(t,x(t),p(t))+g(t),p˙(t)=−H′x(t,x(t),p(t))−f(t). Among these problems is the existence of T-periodic solutions, namely those satisfying x(t+T)=x(t) and p(t+T)+p(t). A special study is made of the classical case, where H(x, p)=1/2 |p|2+V(x). In the case of parametric oscillations, where (f, g)=(0, 0) and t ↦ H(t, x, p) is T-periodic, we give a lower bound for the true (minimal) period of the T-periodic solution (x, p) produced by our method, and we prove the existence of an infinite number of subharmonics.en
dc.relation.isversionofjnlnameArchive for Rational Mechanics and Analysis
dc.relation.isversionofjnlvol78en
dc.relation.isversionofjnlissue4en
dc.relation.isversionofjnldate1982
dc.relation.isversionofjnlpages315-333en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/BF00249584en
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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