Some Oscillation Criteria for a Class of Third-Order Delay Differential Equations
In this paper, we study oscillatory properties of solutions to a class of third-order differential equation atrtx′t′α′+ptrtx′t′α+qtfxσt=0, where fx/xβ≥k>0 and α and β are quotients of odd positive integers. By using the generalized Riccati technique, we obtain some oscillation and asymptotic crit...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/9347942 |
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| _version_ | 1850221256351154176 |
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| author | Miao Wang Lifei Dong |
| author_facet | Miao Wang Lifei Dong |
| author_sort | Miao Wang |
| collection | DOAJ |
| description | In this paper, we study oscillatory properties of solutions to a class of third-order differential equation atrtx′t′α′+ptrtx′t′α+qtfxσt=0, where fx/xβ≥k>0 and α and β are quotients of odd positive integers. By using the generalized Riccati technique, we obtain some oscillation and asymptotic criteria when α≥β and α<β. Finally, some examples are given to show the effectiveness of the criteria obtained. |
| format | Article |
| id | doaj-art-704834708ec74fb9b84b72dc76f72580 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-704834708ec74fb9b84b72dc76f725802025-08-20T02:06:46ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/9347942Some Oscillation Criteria for a Class of Third-Order Delay Differential EquationsMiao Wang0Lifei Dong1Chongqing Three Gorges UniversityChongqing Three Gorges UniversityIn this paper, we study oscillatory properties of solutions to a class of third-order differential equation atrtx′t′α′+ptrtx′t′α+qtfxσt=0, where fx/xβ≥k>0 and α and β are quotients of odd positive integers. By using the generalized Riccati technique, we obtain some oscillation and asymptotic criteria when α≥β and α<β. Finally, some examples are given to show the effectiveness of the criteria obtained.http://dx.doi.org/10.1155/2022/9347942 |
| spellingShingle | Miao Wang Lifei Dong Some Oscillation Criteria for a Class of Third-Order Delay Differential Equations Journal of Mathematics |
| title | Some Oscillation Criteria for a Class of Third-Order Delay Differential Equations |
| title_full | Some Oscillation Criteria for a Class of Third-Order Delay Differential Equations |
| title_fullStr | Some Oscillation Criteria for a Class of Third-Order Delay Differential Equations |
| title_full_unstemmed | Some Oscillation Criteria for a Class of Third-Order Delay Differential Equations |
| title_short | Some Oscillation Criteria for a Class of Third-Order Delay Differential Equations |
| title_sort | some oscillation criteria for a class of third order delay differential equations |
| url | http://dx.doi.org/10.1155/2022/9347942 |
| work_keys_str_mv | AT miaowang someoscillationcriteriaforaclassofthirdorderdelaydifferentialequations AT lifeidong someoscillationcriteriaforaclassofthirdorderdelaydifferentialequations |