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.File in questo prodotto:
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