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Title: | On the existence of forced oscillations of retarded functional motion equations on a class of topologically nontrivial manifolds | Authors: | Benevieri, Pierluigi Calamai, Alessandro Furi, Massimo Pera, Maria Patrizia |
Keywords: | Retarded functional differential equations; fixed point index; forced oscillations | Issue Date: | 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. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 44 (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. |
Type: | Article | URI: | http://hdl.handle.net/10077/8269 | ISSN: | 0049-4704 |
Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.44 (2012) |
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