Lyapunov-type Inequalities for Certain Nonlinear Systems on Time Scales

Authors : Mehmet ÜNAL

Pages : 255-275

View : 14 | Download : 5

Publication Date : 0000-00-00

Article Type : Research Paper

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