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.
| Authors: | , , |
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| Format: | article |
| Status: | Versión enviada para evaluación y publicación |
| Publication Date: | 2017 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/86717 |
| Online Access: | https://hdl.handle.net/11441/86717 https://doi.org/10.1016/j.na.2017.06.001 |
| Access Level: | Open access |
| Keyword: | Existence of the solution Uniqueness of the solution Decay rate |
| Summary: | 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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