Criteria for the asymptotic behaviour of solutions to certain third-order nonlinear differential equations
We investigate and provide sufficient criteria for ultimate boundedness of solutions as well as the asymptotic stability of the trivial solution to certain nonlinear differential equation of order three. Using the Lyapunov second method and the Yoshizawa limit point approach, we establish our result...
Saved in:
| Main Authors: | , , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Kragujevac, Faculty of Technical Sciences Čačak
2024-01-01
|
| Series: | Mathematica Moravica |
| Subjects: | |
| Online Access: | https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2024/1450-59322402033A.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841554175675072512 |
|---|---|
| author | Adeyanju A.A. Fabelurin O.O. Akinbo G. Aduroja O.O. Ademola A.T. Ogundiran M.O. Ogundare B.S. Adesina O.A. |
| author_facet | Adeyanju A.A. Fabelurin O.O. Akinbo G. Aduroja O.O. Ademola A.T. Ogundiran M.O. Ogundare B.S. Adesina O.A. |
| author_sort | Adeyanju A.A. |
| collection | DOAJ |
| description | We investigate and provide sufficient criteria for ultimate boundedness of solutions as well as the asymptotic stability of the trivial solution to certain nonlinear differential equation of order three. Using the Lyapunov second method and the Yoshizawa limit point approach, we establish our results. The equation considered is new and more general. Hence, our results are new, generalized and improved on some earlier established results. In order to verify the correctness of our obtained results, a numerical example is provided with the trajectories of the solutions. |
| format | Article |
| id | doaj-art-4851310fedd540d297bbe0b3afa2398e |
| institution | Kabale University |
| issn | 1450-5932 2560-5542 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | University of Kragujevac, Faculty of Technical Sciences Čačak |
| record_format | Article |
| series | Mathematica Moravica |
| spelling | doaj-art-4851310fedd540d297bbe0b3afa2398e2025-01-08T16:28:21ZengUniversity of Kragujevac, Faculty of Technical Sciences ČačakMathematica Moravica1450-59322560-55422024-01-01282334410.5937/MatMor2402033A1450-59322402033ACriteria for the asymptotic behaviour of solutions to certain third-order nonlinear differential equationsAdeyanju A.A.0Fabelurin O.O.1Akinbo G.2Aduroja O.O.3Ademola A.T.4Ogundiran M.O.5Ogundare B.S.6Adesina O.A.7Federal University of Agriculture, Department of Mathematics, Abeokuta, NigeriaObafemi Awolowo University, Department of Mathematics, Ile-Ife, NigeriaObafemi Awolowo University, Department of Mathematics, Ile-Ife, NigeriaUniversity of Ilesa, Department of Mathematics, Ilesa, NigeriaObafemi Awolowo University, Department of Mathematics, Ile-Ife, NigeriaObafemi Awolowo University, Department of Mathematics, Ile-Ife, NigeriaObafemi Awolowo University, Department of Mathematics, Ile-Ife, NigeriaObafemi Awolowo University, Department of Mathematics, Ile-Ife, NigeriaWe investigate and provide sufficient criteria for ultimate boundedness of solutions as well as the asymptotic stability of the trivial solution to certain nonlinear differential equation of order three. Using the Lyapunov second method and the Yoshizawa limit point approach, we establish our results. The equation considered is new and more general. Hence, our results are new, generalized and improved on some earlier established results. In order to verify the correctness of our obtained results, a numerical example is provided with the trajectories of the solutions.https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2024/1450-59322402033A.pdfstabilityboundednessasymptotic behaviourlyapunov function |
| spellingShingle | Adeyanju A.A. Fabelurin O.O. Akinbo G. Aduroja O.O. Ademola A.T. Ogundiran M.O. Ogundare B.S. Adesina O.A. Criteria for the asymptotic behaviour of solutions to certain third-order nonlinear differential equations Mathematica Moravica stability boundedness asymptotic behaviour lyapunov function |
| title | Criteria for the asymptotic behaviour of solutions to certain third-order nonlinear differential equations |
| title_full | Criteria for the asymptotic behaviour of solutions to certain third-order nonlinear differential equations |
| title_fullStr | Criteria for the asymptotic behaviour of solutions to certain third-order nonlinear differential equations |
| title_full_unstemmed | Criteria for the asymptotic behaviour of solutions to certain third-order nonlinear differential equations |
| title_short | Criteria for the asymptotic behaviour of solutions to certain third-order nonlinear differential equations |
| title_sort | criteria for the asymptotic behaviour of solutions to certain third order nonlinear differential equations |
| topic | stability boundedness asymptotic behaviour lyapunov function |
| url | https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2024/1450-59322402033A.pdf |
| work_keys_str_mv | AT adeyanjuaa criteriafortheasymptoticbehaviourofsolutionstocertainthirdordernonlineardifferentialequations AT fabelurinoo criteriafortheasymptoticbehaviourofsolutionstocertainthirdordernonlineardifferentialequations AT akinbog criteriafortheasymptoticbehaviourofsolutionstocertainthirdordernonlineardifferentialequations AT adurojaoo criteriafortheasymptoticbehaviourofsolutionstocertainthirdordernonlineardifferentialequations AT ademolaat criteriafortheasymptoticbehaviourofsolutionstocertainthirdordernonlineardifferentialequations AT ogundiranmo criteriafortheasymptoticbehaviourofsolutionstocertainthirdordernonlineardifferentialequations AT ogundarebs criteriafortheasymptoticbehaviourofsolutionstocertainthirdordernonlineardifferentialequations AT adesinaoa criteriafortheasymptoticbehaviourofsolutionstocertainthirdordernonlineardifferentialequations |