Turkish Journal of Mathematics
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.
DOI
-
Keywords
Nonlinear systems; Hamiltonian systems; Lyapunov - type inequality; Discongugacy; Generalized zero; Time Scale
First Page
255
Last Page
275
Recommended Citation
ÜNAL, M, & ÇAKMAK, D (2008). Lyapunov-type Inequalities for Certain Nonlinear Systems on Time Scales. Turkish Journal of Mathematics 32 (3): 255-275. https://doi.org/-
