Title of article :
Lyapunov-type Inequalities for Certain Nonlinear Systems on Time Scales
Author/Authors :
UNAL, Mehmet Bah¸ce¸sehir University - Department of Mathematics and Computer Science, TURKEY , C¸AKMAK, Devrim Gazi University - Faculty of Education - Department of Mathematics Education, TURKEY
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
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
