# zbMATH — the first resource for mathematics

Periodic solutions for a kind of Rayleigh equation with a deviating argument. (English) Zbl 1293.34087
Summary: By employing the continuation theorem of coincidence degree theory developed by Mawhin, we study a kind of Rayleigh equation with a deviating argument as follows $$x''(t)+f(x'(t))+g(x(t-\tau (t)))=p(t)$$, and some new results on the existence of periodic solutions are obtained. Our work generalizes the known result.

##### MSC:
 34K13 Periodic solutions to functional-differential equations
##### Keywords:
Periodic solution; Deviating argument; Rayleigh equation