Lyapunov-type inequality for a class of quasilinear systems

We give a generalization of the Lyapunov-type inequality for the second-order quasilinear differential equations given in De Nápoli and Pinasco (2006) [9] to a class of quasilinear differential systems of dimension n. The generalization is carried out in such a way that more general nonlinearities are allowed in our system than those in [9]. The results of this paper generalize some earlier results on this topic.