dc.creator | Adeyanju, Adetunji | |
dc.date | 2023-05-16 | |
dc.date.accessioned | 2023-07-21T14:31:37Z | |
dc.date.available | 2023-07-21T14:31:37Z | |
dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5421 | |
dc.identifier | 10.22199/issn.0717-6279-5421 | |
dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/232385 | |
dc.description | In this paper, we employ the second method of Lyapunov to examine sufficient conditions for the uniform-ultimate boundedness of solutions and existence of at least one periodic solution to the following second order vector differential equation:
Ẍ+ F(X, Ẋ ) Ẋ + H(X) = P(t, X, Ẋ ),
when the non-linear term H(X) is: (i) differentiable, (ii) non-necessarily differentiable. The results contain in this paper are new and complement related ones in the literature. | en-US |
dc.format | application/pdf | |
dc.language | eng | |
dc.publisher | Universidad Católica del Norte. | en-US |
dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5421/4301 | |
dc.rights | Copyright (c) 2023 Adetunji Adeyanju | en-US |
dc.rights | https://creativecommons.org/licenses/by/4.0 | en-US |
dc.source | Proyecciones (Antofagasta, On line); Vol. 42 No. 3 (2023); 757-773 | en-US |
dc.source | Proyecciones. Revista de Matemática; Vol. 42 Núm. 3 (2023); 757-773 | es-ES |
dc.source | 0717-6279 | |
dc.source | 10.22199/issn.0717-6279-2023-03 | |
dc.subject | second order | en-US |
dc.subject | ultimate boundedness | en-US |
dc.subject | periodicity | en-US |
dc.subject | Lyapunov function | en-US |
dc.subject | 34D05 | en-US |
dc.subject | 34K20 | en-US |
dc.title | On uniform-ultimate boundedness and periodicity results of solutions to certain second order non-linear vector differential equations | en-US |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |
dc.type | text | en-US |