Lyapunov Inequalities for Time Scales
Agarwall, Ravi P.
The theory of time scales has been introduced in order to unify discrete and continuous analysis. We present a Lyapunov inequality for Sturm-Liouville dynamic equations of second order on such time scales, which can be applied to obtain a disconjugacy criterion for these equations. We also extend the presented material to the case of a general linear Hamiltonian dynamic system on time scales. Some special cases of our results contain the classical Lyapunov inequalities for differential equations as well as only recently developed Lyapunov inequalities for difference equations.
M. Bohner et al., "Lyapunov Inequalities for Time Scales," Journal of Inequalities and Applications, Springer Verlag, Jan 2002.
The definitive version is available at http://dx.doi.org/10.1155/S102558340200005X
Mathematics and Statistics
Keywords and Phrases
time scales; Lyapunov inequality; Dynamic equations; Disconjugacy; Hamiltonian system
Article - Journal
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