Lyapunov-type inequalities for a certain class of nonlinear systems

Abstract: In this paper, we state and prove some new Lyapunov-type inequalities for a class of nonlinear systems, special cases of which contain the well-known Hamiltonian system, Emden–Fowler, half-linear and linear differential equations of second order. Our results improve and generalize these types of inequalities related to all existing ones. [Copyright &y& Elsevier]