Existence et stabilité de solutions périodiques pour des équations différentielles quasi-linéaires d'ordre n

Abstract

We study the existence and stability of periodic solutions of quasi-linear n-th order differential equations by a method closely related to that of Cesari-Hale. When the method is applied to quasi-linear n-th order equations not in matrix form it is possible to use certain classical methods in the theory of linear differential equations, particularly the method of complex amplitudes (or the method of impedances) and the development into Fourier series.