Lyapunov inequalities for time scales
| Autor: | Ridenhour Jerry, Bohner Martin, Clark Stephen |
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| Jazyk: | angličtina |
| Rok vydání: | 2002 |
| Předmět: | |
| Zdroj: | Journal of Inequalities and Applications, Vol 2002, Iss 1, p 829403 (2002) |
| Druh dokumentu: | article |
| ISSN: | 1025-5834 1029-242X |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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