An improvement of the Lyapunov inequality for certain higher order differential equations
Abstract In this paper, we establish two Lyapunov inequalities for some half-linear higher order differential equations with anti-periodic boundary conditions. Our result improves that obtained by Wang (Appl. Math. Lett. 25:2375–2380, 2012).
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-08-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1809-5 |
| _version_ | 1828532569439731712 |
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| author | Haidong Liu |
| author_facet | Haidong Liu |
| author_sort | Haidong Liu |
| collection | DOAJ |
| description | Abstract In this paper, we establish two Lyapunov inequalities for some half-linear higher order differential equations with anti-periodic boundary conditions. Our result improves that obtained by Wang (Appl. Math. Lett. 25:2375–2380, 2012). |
| first_indexed | 2024-12-11T22:54:58Z |
| format | Article |
| id | doaj.art-e45aee03286144b69f04de4b9dcfcd1f |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-11T22:54:58Z |
| publishDate | 2018-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-e45aee03286144b69f04de4b9dcfcd1f2022-12-22T00:47:17ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-08-01201811910.1186/s13660-018-1809-5An improvement of the Lyapunov inequality for certain higher order differential equationsHaidong Liu0School of Mathematical Sciences, Qufu Normal UniversityAbstract In this paper, we establish two Lyapunov inequalities for some half-linear higher order differential equations with anti-periodic boundary conditions. Our result improves that obtained by Wang (Appl. Math. Lett. 25:2375–2380, 2012).http://link.springer.com/article/10.1186/s13660-018-1809-5Lyapunov inequalityHalf-linear differential equationSobolev inequalityRiemann zeta function |
| spellingShingle | Haidong Liu An improvement of the Lyapunov inequality for certain higher order differential equations Journal of Inequalities and Applications Lyapunov inequality Half-linear differential equation Sobolev inequality Riemann zeta function |
| title | An improvement of the Lyapunov inequality for certain higher order differential equations |
| title_full | An improvement of the Lyapunov inequality for certain higher order differential equations |
| title_fullStr | An improvement of the Lyapunov inequality for certain higher order differential equations |
| title_full_unstemmed | An improvement of the Lyapunov inequality for certain higher order differential equations |
| title_short | An improvement of the Lyapunov inequality for certain higher order differential equations |
| title_sort | improvement of the lyapunov inequality for certain higher order differential equations |
| topic | Lyapunov inequality Half-linear differential equation Sobolev inequality Riemann zeta function |
| url | http://link.springer.com/article/10.1186/s13660-018-1809-5 |
| work_keys_str_mv | AT haidongliu animprovementofthelyapunovinequalityforcertainhigherorderdifferentialequations AT haidongliu improvementofthelyapunovinequalityforcertainhigherorderdifferentialequations |