Existence and continuation of periodic solutions of Newtonian systems
Classical Analysis and ODEs
2007-05-23 v1
Abstract
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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Cite
@article{arxiv.math/0604286,
title = {Existence and continuation of periodic solutions of Newtonian systems},
author = {J. Fura and A. Ratajczak and S. Rybicki},
journal= {arXiv preprint arXiv:math/0604286},
year = {2007}
}
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31 pages