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In this paper, we will try to find a new Lyapunov-type inequality for a class of non-linear systems, special cases of which contain some well-known Hamiltonian system, Emden-Fowler, half-linear and linear differential equations of second order. Our result extends the Lyapunov-type inequality given in [X. Wang, Stability criteria for linear periodic… (More)
In this study, we prove Lyapunov-type inequalities for certain nonlinear systems on an arbitrary time scale Ìby using elementary time scale calculus. These inequalities enable us to obtain a criterion of disconjugacy for such systems. Special cases of our results contain the classical Lyapunov inequality for both differential and difference equations.