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)
Boscaggin, A., Fonda, A., Garrione, M. (2012). A multiplicity result for periodic solutions of second order differential equations with a singularity. NONLINEAR ANALYSIS, 75(12), 4457-4470 [10.1016/j.na.2011.10.025].
A multiplicity result for periodic solutions of second order differential equations with a singularity
BOSCAGGIN, ALBERTO;GARRIONE, MAURIZIO
2012
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)
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
