Geodesic
On the number of periodic solutions of a generalized pendulum equation
Archivum mathematicum, Tome 41 (2005) no. 2, pp. 197-208.

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For a generalized pendulum equation we estimate the number of periodic solutions from below using lower and upper solutions and from above using a complex equation and Jensen’s inequality.
Classification : 34B15, 34C25, 47N20
Keywords: generalized pendulum; number of solutions; Jensen’s inequality 
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     title = {On the number of periodic solutions of a generalized pendulum equation},
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Kubáček, Zbyněk; Rudolf, Boris. On the number of periodic solutions of a generalized pendulum equation. Archivum mathematicum, Tome 41 (2005) no. 2, pp. 197-208. http://geodesic.mathdoc.fr/item/ARM_2005__41_2_a8/