Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space
The initial value problem and global properties of solutions are studied for the vectorequation:(∥u′∥lu′)′ + ∥A1/2u∥β Au + g(u′) = 0 in a finite dimensional Hilbert space under suitable assumptions on g.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/86717 |
| Acceso en línea: | https://hdl.handle.net/11441/86717 https://doi.org/10.1016/j.na.2017.06.001 |
| Access Level: | acceso abierto |
| Palabra clave: | Existence of the solution Uniqueness of the solution Decay rate |
| Sumario: | The initial value problem and global properties of solutions are studied for the vectorequation:(∥u′∥lu′)′ + ∥A1/2u∥β Au + g(u′) = 0 in a finite dimensional Hilbert space under suitable assumptions on g. |
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