Existence of periodic solutions for a scalar differential equation modelling optical conveyor belts (Q2325920)

The authors study a model of the optical conveyor belts expressed in the form of an ordinary differential equation in the case of Rayleigh particles. For this ordinary differential equation, the authors solve a periodic problem in several special cases depending on the region strength. To solve the problems the authors study auxiliary differential equations using well-known methods of the theory of integral equations. At the end of the work the authors consider numerical experiments for the studied problems.