Differential Equations with Limit-periodic Forcings

@inproceedings{Alonso2002DifferentialEW,
title={Differential Equations with Limit-periodic Forcings},
author={A. I. Alonso and Rafael Obaya and Rafael Ortega},
year={2002}
}

The present paper is concerned with scalar differential equations of first order which are limit periodic in the independent variable. Some tools provided by the theories of exponential dichotomies and periodic differential equations are applied to prove that, in a generic sense, the existence of a bounded solution implies the existence of a limit periodic solution.