Oscillatory and Asymptotic Behavior of Nonlinear Functional Dynamic Equations of Third Order
The purpose of this work is to derive sufficient conditions for the oscillation of all solutions of the third-order functional dynamic equation p2ξϕγ2p1ξϕγ1yΔξΔΔ+pξϕβygξ=0, on a time scale T. In addition, we present some Hille-type conditions for generalized third-order dynamic equations that improv...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/7378802 |
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| author | Taher S. Hassan Adel A. Attiya Mohammad Alshammari Amir Abdel Menaem Ayékotan Tchalla Ismoil Odinaev |
| author_facet | Taher S. Hassan Adel A. Attiya Mohammad Alshammari Amir Abdel Menaem Ayékotan Tchalla Ismoil Odinaev |
| author_sort | Taher S. Hassan |
| collection | DOAJ |
| description | The purpose of this work is to derive sufficient conditions for the oscillation of all solutions of the third-order functional dynamic equation p2ξϕγ2p1ξϕγ1yΔξΔΔ+pξϕβygξ=0, on a time scale T. In addition, we present some Hille-type conditions for generalized third-order dynamic equations that improve and extend significant contributions reported in the literature without imposing time-scale restrictions. An example is given to demonstrate the essential results. |
| format | Article |
| id | doaj-art-a537896eef6b4b7ca6bbd54709076169 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a537896eef6b4b7ca6bbd547090761692025-08-20T03:38:12ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/7378802Oscillatory and Asymptotic Behavior of Nonlinear Functional Dynamic Equations of Third OrderTaher S. Hassan0Adel A. Attiya1Mohammad Alshammari2Amir Abdel Menaem3Ayékotan Tchalla4Ismoil Odinaev5Department of MathematicsDepartment of MathematicsDepartment of MathematicsElectrical Engineering DepartmentDépartement de MathématiquesDepartment of Automated Electrical SystemsThe purpose of this work is to derive sufficient conditions for the oscillation of all solutions of the third-order functional dynamic equation p2ξϕγ2p1ξϕγ1yΔξΔΔ+pξϕβygξ=0, on a time scale T. In addition, we present some Hille-type conditions for generalized third-order dynamic equations that improve and extend significant contributions reported in the literature without imposing time-scale restrictions. An example is given to demonstrate the essential results.http://dx.doi.org/10.1155/2022/7378802 |
| spellingShingle | Taher S. Hassan Adel A. Attiya Mohammad Alshammari Amir Abdel Menaem Ayékotan Tchalla Ismoil Odinaev Oscillatory and Asymptotic Behavior of Nonlinear Functional Dynamic Equations of Third Order Journal of Function Spaces |
| title | Oscillatory and Asymptotic Behavior of Nonlinear Functional Dynamic Equations of Third Order |
| title_full | Oscillatory and Asymptotic Behavior of Nonlinear Functional Dynamic Equations of Third Order |
| title_fullStr | Oscillatory and Asymptotic Behavior of Nonlinear Functional Dynamic Equations of Third Order |
| title_full_unstemmed | Oscillatory and Asymptotic Behavior of Nonlinear Functional Dynamic Equations of Third Order |
| title_short | Oscillatory and Asymptotic Behavior of Nonlinear Functional Dynamic Equations of Third Order |
| title_sort | oscillatory and asymptotic behavior of nonlinear functional dynamic equations of third order |
| url | http://dx.doi.org/10.1155/2022/7378802 |
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