Authors: MEHMET ÜNAL, DEVRİM ÇAKMAK
Abstract: In this study, we prove Lyapunov-type inequalities for certain nonlinear systems on an arbitrary time scale T by 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.
Keywords: Nonlinear systems; Hamiltonian systems; Lyapunov - type inequality; Discongugacy; Generalized zero; Time Scale
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