Oscillation Criteria of Third-Order Nonlinear Damped Dynamic Equations on Time Scales
We establish oscillation criteria of third-order nonlinear damped dynamic equations on time scales of the form r1tr2txΔtγΔΔ+ft, xt,xσt, xgt, xΔt=0 by employing functions in some function classes and the generalized Riccati transformation. Two examples are given to show the significance of the conclu...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/231261 |
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| _version_ | 1832558235494645760 |
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| author | Yang-Cong Qiu |
| author_facet | Yang-Cong Qiu |
| author_sort | Yang-Cong Qiu |
| collection | DOAJ |
| description | We establish oscillation criteria of third-order nonlinear damped dynamic equations on time scales of the form r1tr2txΔtγΔΔ+ft, xt,xσt, xgt, xΔt=0 by employing functions in some function classes and the generalized Riccati transformation. Two examples are given to show the significance of the conclusions. |
| format | Article |
| id | doaj-art-3dbc581e287840a4a6a3fb21ff372e33 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-3dbc581e287840a4a6a3fb21ff372e332025-02-03T01:32:50ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/231261231261Oscillation Criteria of Third-Order Nonlinear Damped Dynamic Equations on Time ScalesYang-Cong Qiu0School of Humanities and Social Science, Shunde Polytechnic, Foshan, Guangdong 528333, ChinaWe establish oscillation criteria of third-order nonlinear damped dynamic equations on time scales of the form r1tr2txΔtγΔΔ+ft, xt,xσt, xgt, xΔt=0 by employing functions in some function classes and the generalized Riccati transformation. Two examples are given to show the significance of the conclusions.http://dx.doi.org/10.1155/2015/231261 |
| spellingShingle | Yang-Cong Qiu Oscillation Criteria of Third-Order Nonlinear Damped Dynamic Equations on Time Scales Discrete Dynamics in Nature and Society |
| title | Oscillation Criteria of Third-Order Nonlinear Damped Dynamic Equations on Time Scales |
| title_full | Oscillation Criteria of Third-Order Nonlinear Damped Dynamic Equations on Time Scales |
| title_fullStr | Oscillation Criteria of Third-Order Nonlinear Damped Dynamic Equations on Time Scales |
| title_full_unstemmed | Oscillation Criteria of Third-Order Nonlinear Damped Dynamic Equations on Time Scales |
| title_short | Oscillation Criteria of Third-Order Nonlinear Damped Dynamic Equations on Time Scales |
| title_sort | oscillation criteria of third order nonlinear damped dynamic equations on time scales |
| url | http://dx.doi.org/10.1155/2015/231261 |
| work_keys_str_mv | AT yangcongqiu oscillationcriteriaofthirdordernonlineardampeddynamicequationsontimescales |