This paper illustrates how the notion of an ejecting set recently introduced by the authors can be used to get multiplicity results for forced oscillations. The motion problem of a mass point constrained to a one-dimensional differentiable manifold and acted on by a periodic force is treated in detail.
Multiplicity of forced oscillations on manifolds and applications to motion problems with one-dimensional constraints / M. Furi; M.P. Pera; M. Spadini. - In: SET-VALUED ANALYSIS. - ISSN 0927-6947. - STAMPA. - 9:(2001), pp. 67-73. [10.1023/A:1011206732719]
Multiplicity of forced oscillations on manifolds and applications to motion problems with one-dimensional constraints
FURI, MASSIMO;PERA, MARIA PATRIZIA;SPADINI, MARCO
2001
Abstract
This paper illustrates how the notion of an ejecting set recently introduced by the authors can be used to get multiplicity results for forced oscillations. The motion problem of a mass point constrained to a one-dimensional differentiable manifold and acted on by a periodic force is treated in detail.
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