Existence and continuation of periodic solutions of Newtonian systems

Details Existence and continuation of periodic solutions of Newtonian systems Existence and continuation of periodic solutions of Newtonian systems

2006-04-12

arxiv.org/abs/math/0604286v1

Journal of Differential Equations 218(1) (2005), 216-252

Mathematics

Classical Analysis and ODEs

31 pages

Scientific paper

In 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.

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