We provide sufficient conditions for the existence of periodic solutions of the third-order differential equations where a 0, a 1, b 0, b 1, c 2are real arbitrary parameters with b 0>0, is a small parameter and F is a -periodic nonlinear function in the variable t. The prime denotes derivative with respect to the independent variable t. Moreover we provide an application. © Copyright 2012 Taylor and Francis Group, LLC.
- averaging theory
- periodic orbit
- quadratic system
- third-order differential equation