- Turkish Journal of Mathematics
- Vol: 32 Issue: 3
- Lyapunov-type Inequalities for Certain Nonlinear Systems on Time Scales
Lyapunov-type Inequalities for Certain Nonlinear Systems on Time Scales
Authors : Mehmet Ünal
Pages : 255-275
View : 9 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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