By the use of the Poincaré-Birkhoff fixed point theorem, we prove a multiplicity result for periodic solutions of a second order differential equation, where the nonlinearity exhibits a singularity of repulsive type at the origin and has linear growth at infinity. Our main theorem is related to previous results by Rebelo (1996, 1997) [4,5] and Rebelo and Zanolin (1996) [6,7], in connection with a problem raised by del Pino et al. (1992) [1]. © 2011 Elsevier Ltd. All rights reserved.

A multiplicity result for periodic solutions of second order differential equations with a singularity

Garrione, Maurizio
2012-01-01

Abstract

By the use of the Poincaré-Birkhoff fixed point theorem, we prove a multiplicity result for periodic solutions of a second order differential equation, where the nonlinearity exhibits a singularity of repulsive type at the origin and has linear growth at infinity. Our main theorem is related to previous results by Rebelo (1996, 1997) [4,5] and Rebelo and Zanolin (1996) [6,7], in connection with a problem raised by del Pino et al. (1992) [1]. © 2011 Elsevier Ltd. All rights reserved.
2012
Multiple periodic solutions; Poincaré-Birkhoff theorem; Repulsive singularity; Analysis; Applied Mathematics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1053092
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