Existence and continuation of periodic solutions of Newtonian systems

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dc.creatorFura, J.
dc.creatorRatajczak, A.
dc.creatorRybicki, S.
dc.date2006-04-12
dc.date.accessioned2026-07-07T07:10:51Z
dc.date.available2026-07-07T07:10:51Z
dc.descriptionIn this article we study the existence and the continuation of periodic solutions of autonomous Newtonian systems. To prove the results we apply the infinite-dimensional version of the degree for SO(2)-equivariant gradient operators. Using the results due to Rabier we show that the Leray-Schauder degree is not applicable in the proofs of our theorems, because it vanishes.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/math/0604286
dc.identifierhttp://arxiv.org/abs/math/0604286
dc.identifierJournal of Differential Equations 218(1) (2005), 216-252
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111548
dc.subjectClassical Analysis and ODEs
dc.subject34C25, 47H11
dc.titleExistence and continuation of periodic solutions of Newtonian systems
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