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On the existence of forced oscillations of retarded functional motion equations on a class of topologically nontrivial manifolds
Benevieri, Pierluigi
Calamai, Alessandro
Furi, Massimo
Pera, Maria Patrizia
2012
Abstract
Using a topological approach, based on the fixed point index theory for locally compact maps on metric ANRs, we prove the
existence of forced oscillations for retarded functional motion problems
constrained on compact manifolds with nontrivial Euler–Poincar´e characteristic, provided that the frictional coefficient is nonzero. We do not
know if an analogous result holds true in the frictionless case.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
44 (2012)
Publisher
EUT Edizioni Università di Trieste
Source
Pierluigi Benevieri, Alessandro Calamai, Massimo Furi and Maria Patrizia Pera, "On the existence of forced oscillations of retarded functional motion equations on a class of topologically nontrivial manifolds", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 44 (2012), pp. 5–17.
Languages
en
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