J. Fura, A. Ratajczak, S. Rybicki
Published 2006-04-12Version 1
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.
Comments: 31 pages
Journal: Journal of Differential Equations 218(1) (2005), 216-252
Poincare index and periodic solutions of perturbed autonomous systems
Periodic solutions for a class of singulary perturbated systems
Atypical bifurcation for periodic solutions of $φ$-Laplacian systems
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