Luis Carretero (University Miguel Hernández of Elche) and José Valero (University Miguel Hernández of Elche).

Abstract.  We study a one-dimensional ordinary differential equation modelling optical conveyor belts, showing in particular cases of physical interest that periodic solutions exist. Moreover, under rather general assumptions it is proved that the set of periodic solutions is bounded.

Keywords. Ordinary differential equations; Periodic solutions; Optical conveyor belts.