We investigated the existence of periodic solutions to a kind of non-linear differential equations of third order. We prove two new theorems on the existence of periodic solutions to the equation considered. The technique of proof involves the Leray-Schauder degree theory. The results obtained include and improve some results found in the literature.
Cemil Tunç. (2017) On the Existence of Periodic Solutions to Certain Non-linear Differential Equations of Third Order, , Proc. of the PAS: A; 54, Issue 2.