Journals / Turkish Journal of Mathematics / 2008 / Cilt: 32 - Sayı: 3
Lyapunov-type Inequalities for Certain Nonlinear Systems on Time Scales
- Pages
- 255–275
- DOI
- —
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.
Özet
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.