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

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• 作者：Alberto Boscaggin^a ; ^{boscaggi@sissa.it} ; Alessandro Fonda^b ; ^{a.fonda@units.it} ; Maurizio Garrione^a ; ^{garrione@sissa.it}
• 关键词：34C25 ; 34B16 ; 37J10
• 刊名：Nonlinear Analysis
• 出版年：2012
• 出版时间：August, 2012
• 年：2012
• 卷：75
• 期：12
• 页码：4457-4470
• 全文大小：316 K

文摘

By the use of the Poincar¨¦-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) and Rebelo and Zanolin (1996) , in connection with a problem raised by del Pino et?al. (1992) .