On Inequalities of Lyapunov for Two-Dimensional Nonlinear Dynamic Systems on Time Scales
We establish some new Lyapunov-type inequalities for two-dimensional nonlinear dynamic systems on time scales. As for application, boundedness of the Emden-Fowler-type equation is proved.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/830595 |
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| _version_ | 1832562762064068608 |
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| author | Qiao-Luan Li Wing-Sum Cheung Xu-Yang Fu |
| author_facet | Qiao-Luan Li Wing-Sum Cheung Xu-Yang Fu |
| author_sort | Qiao-Luan Li |
| collection | DOAJ |
| description | We establish some new Lyapunov-type inequalities for two-dimensional nonlinear dynamic systems on time scales.
As for application, boundedness of the Emden-Fowler-type equation is proved. |
| format | Article |
| id | doaj-art-b99ecad9ff264f9297f60b3e27f90fc2 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b99ecad9ff264f9297f60b3e27f90fc22025-02-03T01:21:49ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/830595830595On Inequalities of Lyapunov for Two-Dimensional Nonlinear Dynamic Systems on Time ScalesQiao-Luan Li0Wing-Sum Cheung1Xu-Yang Fu2College of Mathematics & Information Science, Hebei Normal University, Shijiazhuang 050024, ChinaDepartment of Mathematics, The University of Hong Kong, Hong KongCollege of Mathematics & Information Science, Hebei Normal University, Shijiazhuang 050024, ChinaWe establish some new Lyapunov-type inequalities for two-dimensional nonlinear dynamic systems on time scales. As for application, boundedness of the Emden-Fowler-type equation is proved.http://dx.doi.org/10.1155/2013/830595 |
| spellingShingle | Qiao-Luan Li Wing-Sum Cheung Xu-Yang Fu On Inequalities of Lyapunov for Two-Dimensional Nonlinear Dynamic Systems on Time Scales Abstract and Applied Analysis |
| title | On Inequalities of Lyapunov for Two-Dimensional Nonlinear Dynamic Systems on Time Scales |
| title_full | On Inequalities of Lyapunov for Two-Dimensional Nonlinear Dynamic Systems on Time Scales |
| title_fullStr | On Inequalities of Lyapunov for Two-Dimensional Nonlinear Dynamic Systems on Time Scales |
| title_full_unstemmed | On Inequalities of Lyapunov for Two-Dimensional Nonlinear Dynamic Systems on Time Scales |
| title_short | On Inequalities of Lyapunov for Two-Dimensional Nonlinear Dynamic Systems on Time Scales |
| title_sort | on inequalities of lyapunov for two dimensional nonlinear dynamic systems on time scales |
| url | http://dx.doi.org/10.1155/2013/830595 |
| work_keys_str_mv | AT qiaoluanli oninequalitiesoflyapunovfortwodimensionalnonlineardynamicsystemsontimescales AT wingsumcheung oninequalitiesoflyapunovfortwodimensionalnonlineardynamicsystemsontimescales AT xuyangfu oninequalitiesoflyapunovfortwodimensionalnonlineardynamicsystemsontimescales |