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Bifurcation of periodic solutions in differential inclusions
Authors:Michal Fećkan
Affiliation:(1) Department of Mathematical Analysis, Comenius University, Mlyanská dolina, 842 15 Bratislava, Slovakia
Abstract:
Ordinary differential inclusions depending on small parameters are considered such that the unperturbed inclusions are ordinary differential equations possessing manifolds of periodic solutions. Sufficient conditions are determined for the persistence of some of these periodic solutions after multivalued perturbations. Applications are given to dry friction problems.
Keywords:multivalued mappings  differential inclusions  periodic solutions
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