New Oscillatory Behavior of Third-Order Nonlinear Delay Dynamic Equations on Time Scales
A class of third-order nonlinear delay dynamic equations on time scales is studied. By using the generalized Riccati transformation and the inequality technique, four new sufficient conditions which ensure that every solution is oscillatory or converges to zero are established. The results obtained...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/914264 |
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| _version_ | 1832548453471748096 |
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| author | Li Gao Quanxin Zhang Shouhua Liu |
| author_facet | Li Gao Quanxin Zhang Shouhua Liu |
| author_sort | Li Gao |
| collection | DOAJ |
| description | A class of third-order nonlinear delay dynamic equations on time scales is studied. By using the generalized Riccati transformation and the inequality technique, four new sufficient conditions which ensure that every solution is oscillatory or converges to zero are established. The results obtained essentially improve earlier ones. Some examples are considered to illustrate the main results. |
| format | Article |
| id | doaj-art-2d51401a7c3b40aaa73920fe7f026ec2 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2d51401a7c3b40aaa73920fe7f026ec22025-02-03T06:14:04ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/914264914264New Oscillatory Behavior of Third-Order Nonlinear Delay Dynamic Equations on Time ScalesLi Gao0Quanxin Zhang1Shouhua Liu2Department of Mathematics, Binzhou University, Shandong 256603, ChinaDepartment of Mathematics, Binzhou University, Shandong 256603, ChinaDepartment of Mathematics, Binzhou University, Shandong 256603, ChinaA class of third-order nonlinear delay dynamic equations on time scales is studied. By using the generalized Riccati transformation and the inequality technique, four new sufficient conditions which ensure that every solution is oscillatory or converges to zero are established. The results obtained essentially improve earlier ones. Some examples are considered to illustrate the main results.http://dx.doi.org/10.1155/2014/914264 |
| spellingShingle | Li Gao Quanxin Zhang Shouhua Liu New Oscillatory Behavior of Third-Order Nonlinear Delay Dynamic Equations on Time Scales Abstract and Applied Analysis |
| title | New Oscillatory Behavior of Third-Order Nonlinear Delay Dynamic Equations on Time Scales |
| title_full | New Oscillatory Behavior of Third-Order Nonlinear Delay Dynamic Equations on Time Scales |
| title_fullStr | New Oscillatory Behavior of Third-Order Nonlinear Delay Dynamic Equations on Time Scales |
| title_full_unstemmed | New Oscillatory Behavior of Third-Order Nonlinear Delay Dynamic Equations on Time Scales |
| title_short | New Oscillatory Behavior of Third-Order Nonlinear Delay Dynamic Equations on Time Scales |
| title_sort | new oscillatory behavior of third order nonlinear delay dynamic equations on time scales |
| url | http://dx.doi.org/10.1155/2014/914264 |
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