| dc.creator | Ardjouni, Abdelouaheb | es |
| dc.creator | Djoudi, Ahcene | es |
| dc.date | 2025-04-17 | |
| dc.date.accessioned | 2025-10-06T15:04:55Z | |
| dc.date.available | 2025-10-06T15:04:55Z | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1263 | |
| dc.identifier | 10.4067/S0716-09172015000100003 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/255433 | |
| dc.description | The totally nonlinear neutral differential equation(d/ dt) (x(t))=−a(t)g(x(t−τ (t))) + (d/ dt)( G(t,x(t−τ (t)))),with variable delay τ(t) ≥ 0 is investigated. We find suitable conditions for t, a, g and G so that for a given continuous initial function 0 a mapping P for the above equation can be defined on a carefully chosen complete metric space S0ψ ; and in which P possesses a unique fixed point. The final result is an asymptotic stability theorem for the zero solution with a necessary and sufficient condition. The obtained theorem improves and generalizes previous results due to Becker and Burton [6]. An example is given to illustrate our main result. | es |
| dc.format | application/pdf | |
| dc.language | spa | |
| dc.publisher | Universidad Católica del Norte. | en |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1263/976 | |
| dc.rights | Copyright (c) 2015 Proyecciones. Journal of Mathematics | en |
| dc.rights | https://creativecommons.org/licenses/by/4.0 | en |
| dc.source | Proyecciones (Antofagasta); Vol. 34 No. 1 (2015); 25-44 | en |
| dc.source | Proyecciones. Revista de Matemática; Vol. 34 Núm. 1 (2015); 25-44 | es |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2015 | |
| dc.title | Stability in totally nonlinear neutral differential equations with variable delay using fixed point theory | es |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
