A Note on the Periodic Solutions for a Class of Third Order Differential Equations
Zouhair Diab,
Juan L. G. Guirao,
Juan A. Vera
Affiliations
Zouhair Diab
Department of Mathematics and Computer Science, Larbi Tebessi University, 12002 Tebessa, Algeria
Juan L. G. Guirao
Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Hospital de Marina, 30203 Cartagena, Región de Murcia, Spain
Juan A. Vera
Centro Universitario de la Defensa, Academia General del Aire, Universidad Politécnica de Cartagena, 30720 Santiago de la Ribera, Región de Murcia, Spain
The aim of the present work is to study the necessary and sufficient conditions for the existence of periodic solutions for a class of third order differential equations by using the averaging theory. Moreover, we use the symmetry of the Monodromy matrix to study the stability of these solutions.
