Oscillation and Asymptotic Behavior of Three-Dimensional Third-Order Delay Systems
In this paper, oscillation and asymptotic behavior of three-dimensional third-order delay systems are discussed. Some sufficient conditions are obtained to ensure that every solution of the system is either oscillatory or nonoscillatory and converges to zero or diverges as t goes to infinity. A spec...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2023/9939317 |
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| _version_ | 1832547127730896896 |
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| author | Ahmed Abdulhasan Naeif Hussain Ali Mohamad |
| author_facet | Ahmed Abdulhasan Naeif Hussain Ali Mohamad |
| author_sort | Ahmed Abdulhasan Naeif |
| collection | DOAJ |
| description | In this paper, oscillation and asymptotic behavior of three-dimensional third-order delay systems are discussed. Some sufficient conditions are obtained to ensure that every solution of the system is either oscillatory or nonoscillatory and converges to zero or diverges as t goes to infinity. A special technique is adopted to include all possible cases for all nonoscillatory solutions (NOSs). The obtained results included illustrative examples. |
| format | Article |
| id | doaj-art-0cdbef4525ff4fb68d6f0a20edb04e97 |
| institution | Kabale University |
| issn | 1687-9651 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-0cdbef4525ff4fb68d6f0a20edb04e972025-02-03T06:45:41ZengWileyInternational Journal of Differential Equations1687-96512023-01-01202310.1155/2023/9939317Oscillation and Asymptotic Behavior of Three-Dimensional Third-Order Delay SystemsAhmed Abdulhasan Naeif0Hussain Ali Mohamad1Department of MathematicsDepartment of MathematicsIn this paper, oscillation and asymptotic behavior of three-dimensional third-order delay systems are discussed. Some sufficient conditions are obtained to ensure that every solution of the system is either oscillatory or nonoscillatory and converges to zero or diverges as t goes to infinity. A special technique is adopted to include all possible cases for all nonoscillatory solutions (NOSs). The obtained results included illustrative examples.http://dx.doi.org/10.1155/2023/9939317 |
| spellingShingle | Ahmed Abdulhasan Naeif Hussain Ali Mohamad Oscillation and Asymptotic Behavior of Three-Dimensional Third-Order Delay Systems International Journal of Differential Equations |
| title | Oscillation and Asymptotic Behavior of Three-Dimensional Third-Order Delay Systems |
| title_full | Oscillation and Asymptotic Behavior of Three-Dimensional Third-Order Delay Systems |
| title_fullStr | Oscillation and Asymptotic Behavior of Three-Dimensional Third-Order Delay Systems |
| title_full_unstemmed | Oscillation and Asymptotic Behavior of Three-Dimensional Third-Order Delay Systems |
| title_short | Oscillation and Asymptotic Behavior of Three-Dimensional Third-Order Delay Systems |
| title_sort | oscillation and asymptotic behavior of three dimensional third order delay systems |
| url | http://dx.doi.org/10.1155/2023/9939317 |
| work_keys_str_mv | AT ahmedabdulhasannaeif oscillationandasymptoticbehaviorofthreedimensionalthirdorderdelaysystems AT hussainalimohamad oscillationandasymptoticbehaviorofthreedimensionalthirdorderdelaysystems |