On the Existence of Periodic Solutions to Certain Non-linear Differential Equations of Third Order
On the Existence of Periodic Solutions
Keywords:
Nonlinear differential equation, third order, existence of periodic solutions, Leray-Schauder degree theory, 2010 AMS (MOS) Subject Classifications: 34C25, 47N20Abstract
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.
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