Lyapunov inequalities for time scales
<p/> <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 equation...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2002-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/7/829403 |
| _version_ | 1818425574266241024 |
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| author | Ridenhour Jerry Bohner Martin Clark Stephen |
| author_facet | Ridenhour Jerry Bohner Martin Clark Stephen |
| author_sort | Ridenhour Jerry |
| collection | DOAJ |
| description | <p/> <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.</p> |
| first_indexed | 2024-12-14T14:16:06Z |
| format | Article |
| id | doaj.art-9cded62c4a124694aa53296bc14727ae |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-14T14:16:06Z |
| publishDate | 2002-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-9cded62c4a124694aa53296bc14727ae2022-12-21T22:58:11ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2002-01-0120021829403Lyapunov inequalities for time scalesRidenhour JerryBohner MartinClark Stephen<p/> <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.</p>http://www.journalofinequalitiesandapplications.com/content/7/829403Time scalesLyapunov inequalityDynamic equationsDisconjugacyHamiltonian system |
| spellingShingle | Ridenhour Jerry Bohner Martin Clark Stephen Lyapunov inequalities for time scales Journal of Inequalities and Applications Time scales Lyapunov inequality Dynamic equations Disconjugacy Hamiltonian system |
| title | Lyapunov inequalities for time scales |
| title_full | Lyapunov inequalities for time scales |
| title_fullStr | Lyapunov inequalities for time scales |
| title_full_unstemmed | Lyapunov inequalities for time scales |
| title_short | Lyapunov inequalities for time scales |
| title_sort | lyapunov inequalities for time scales |
| topic | Time scales Lyapunov inequality Dynamic equations Disconjugacy Hamiltonian system |
| url | http://www.journalofinequalitiesandapplications.com/content/7/829403 |
| work_keys_str_mv | AT ridenhourjerry lyapunovinequalitiesfortimescales AT bohnermartin lyapunovinequalitiesfortimescales AT clarkstephen lyapunovinequalitiesfortimescales |