Multiplicity of positive periodic solutions to second order differential equations
Agarwal, R. P.
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Chu, Jifeng; Lin, Xiaoning; Jiang, Daqing; O'Regan, Donal; Agarwal, R. P. (2006). Multiplicity of positive periodic solutions to second order differential equations. Bulletin of the Australian Mathematical Society 73 (2), 175-182
In this paper, we study the existence of positive periodic solutions to the equation x" = f (t, x). It is proved that such a equation has more than one positive periodic solution when the nonlinearity changes sign. The proof relies on a fixed point theorem in cones.