New Oscillatory Behavior of Second-Order Nonlinear Dynamic Equations with Damping on Time Scales
We establish four new oscillation criteria of Grace-type for the second-order nonlinear dynamic equations with damping. These criteria extend known criteria for corresponding dynamic equations. Our results are new even in the continuous and the discrete cases.
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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/10.1155/2014/475428 |
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| _version_ | 1832553417479815168 |
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| author | Shouhua Liu Quanxin Zhang |
| author_facet | Shouhua Liu Quanxin Zhang |
| author_sort | Shouhua Liu |
| collection | DOAJ |
| description | We establish four new oscillation criteria of Grace-type for the second-order nonlinear dynamic equations with damping. These criteria extend known criteria for corresponding dynamic equations. Our results are new even in the continuous and the discrete cases. |
| format | Article |
| id | doaj-art-ae16da7f1c944a2f8a763357dc5150a7 |
| 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-ae16da7f1c944a2f8a763357dc5150a72025-02-03T05:54:05ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/475428475428New Oscillatory Behavior of Second-Order Nonlinear Dynamic Equations with Damping on Time ScalesShouhua Liu0Quanxin Zhang1Department of Mathematics, Binzhou University, Shandong 256603, ChinaDepartment of Mathematics, Binzhou University, Shandong 256603, ChinaWe establish four new oscillation criteria of Grace-type for the second-order nonlinear dynamic equations with damping. These criteria extend known criteria for corresponding dynamic equations. Our results are new even in the continuous and the discrete cases.http://dx.doi.org/10.1155/2014/475428 |
| spellingShingle | Shouhua Liu Quanxin Zhang New Oscillatory Behavior of Second-Order Nonlinear Dynamic Equations with Damping on Time Scales Abstract and Applied Analysis |
| title | New Oscillatory Behavior of Second-Order Nonlinear Dynamic Equations with Damping on Time Scales |
| title_full | New Oscillatory Behavior of Second-Order Nonlinear Dynamic Equations with Damping on Time Scales |
| title_fullStr | New Oscillatory Behavior of Second-Order Nonlinear Dynamic Equations with Damping on Time Scales |
| title_full_unstemmed | New Oscillatory Behavior of Second-Order Nonlinear Dynamic Equations with Damping on Time Scales |
| title_short | New Oscillatory Behavior of Second-Order Nonlinear Dynamic Equations with Damping on Time Scales |
| title_sort | new oscillatory behavior of second order nonlinear dynamic equations with damping on time scales |
| url | http://dx.doi.org/10.1155/2014/475428 |
| work_keys_str_mv | AT shouhualiu newoscillatorybehaviorofsecondordernonlineardynamicequationswithdampingontimescales AT quanxinzhang newoscillatorybehaviorofsecondordernonlineardynamicequationswithdampingontimescales |