English

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

Classical Analysis and ODEs 2024-07-16 v1

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

Cite

@article{arxiv.2407.10843,
  title  = {Existence of periodic solutions for a scalar differential equation modelling optical conveyor belts},
  author = {Luis Carretero and José Valero},
  journal= {arXiv preprint arXiv:2407.10843},
  year   = {2024}
}