Oscillatory Behavior of Noncanonical Quasilinear Second-Order Dynamic Equations on Time Scales
The objective of this article is to examine the oscillatory behavior of a class of quasilinear second-order dynamic equations on time scales. Our focus will be on the noncanonical case, which has received relatively less attention compared to the more commonly studied canonical dynamic equations. Ou...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/5585174 |
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| _version_ | 1832546579260637184 |
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| author | A. Hassan Ismoil Odinaev Taher S. Hassan |
| author_facet | A. Hassan Ismoil Odinaev Taher S. Hassan |
| author_sort | A. Hassan |
| collection | DOAJ |
| description | The objective of this article is to examine the oscillatory behavior of a class of quasilinear second-order dynamic equations on time scales. Our focus will be on the noncanonical case, which has received relatively less attention compared to the more commonly studied canonical dynamic equations. Our approach involves transforming the noncanonical equation into a corresponding canonical equation. By utilizing this transformation and a range of techniques, we develop new, more efficient, and precise oscillation criteria. Finally, we demonstrate the significance and usefulness of our results by applying them to specific cases within the equation being studied. |
| format | Article |
| id | doaj-art-1344599b6be24609a9c8c37a698433e0 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1344599b6be24609a9c8c37a698433e02025-02-03T06:47:42ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/5585174Oscillatory Behavior of Noncanonical Quasilinear Second-Order Dynamic Equations on Time ScalesA. Hassan0Ismoil Odinaev1Taher S. Hassan2Department of MathematicsDepartment of Automated Electrical SystemsSection of MathematicsThe objective of this article is to examine the oscillatory behavior of a class of quasilinear second-order dynamic equations on time scales. Our focus will be on the noncanonical case, which has received relatively less attention compared to the more commonly studied canonical dynamic equations. Our approach involves transforming the noncanonical equation into a corresponding canonical equation. By utilizing this transformation and a range of techniques, we develop new, more efficient, and precise oscillation criteria. Finally, we demonstrate the significance and usefulness of our results by applying them to specific cases within the equation being studied.http://dx.doi.org/10.1155/2023/5585174 |
| spellingShingle | A. Hassan Ismoil Odinaev Taher S. Hassan Oscillatory Behavior of Noncanonical Quasilinear Second-Order Dynamic Equations on Time Scales Journal of Mathematics |
| title | Oscillatory Behavior of Noncanonical Quasilinear Second-Order Dynamic Equations on Time Scales |
| title_full | Oscillatory Behavior of Noncanonical Quasilinear Second-Order Dynamic Equations on Time Scales |
| title_fullStr | Oscillatory Behavior of Noncanonical Quasilinear Second-Order Dynamic Equations on Time Scales |
| title_full_unstemmed | Oscillatory Behavior of Noncanonical Quasilinear Second-Order Dynamic Equations on Time Scales |
| title_short | Oscillatory Behavior of Noncanonical Quasilinear Second-Order Dynamic Equations on Time Scales |
| title_sort | oscillatory behavior of noncanonical quasilinear second order dynamic equations on time scales |
| url | http://dx.doi.org/10.1155/2023/5585174 |
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