© 2015 Academia Brasileira de Ciencias. All rights reserved. For ε ≠ 0sufficiently small we provide sufficient conditions for the existence of periodic solutions for the Lienard differential equations of the form (formula presented) where n is a positive integer, f : ℝ → ℝis a C 3function, g : ℝ → ℝis a C4function, and p i : ℝ → ℝfor i = 1 , 2are continuous 2 π–periodic function. The main tool used in this paper is the averaging theory of second order. We also provide one application of the main result obtained.
- Averaging theory
- Bifurcation theory
- Lienard differential equation
- Periodic solution