New Results on the Existence of Periodic Solutions for Rayleigh Equations With State-Dependent Delay

Abstract

We consider a Rayleigh-type equation with state-dependent delay. We establish a set of new suficient conditions on the existence of at least one positive periodic solution by using the continuation theorem of coincidence degree theory. Our results not only provide a new approach but also generalize previous results. An example with graphical representations are presented to illustrate the results. © 2022 Rajendiran Eswari et al., published by De Gruyter.