Título inglés |
Stability and gradient dynamical systems. |
Título español |
Estabilidad y sistemas dinámicos gradientes. |
Autor/es |
Hale, Jack K. |
Organización |
Sch. Math. Georgia Inst. Technol., Atlanta (Georgia), Estados Unidos |
Revista |
1139-1138 |
Publicación |
2004, 17 (1): 7-57, 108 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
The objective in these notes is to present an approach to dynamical systems in infinite dimensions. It does not seem reasonable to make a comparison of all of the orbits of the dynamics of two systems on non locally compact infinite dimensional spaces. Therefore, we choose to compare them on the set of globally defined bounded solutions. Fundamental problems are posed and several important results are stated when this set is compact. We then give results on the dynamical system which will ensure that this set is compact. Many applications are give to partial differential equations of parabolic and hyperbolic type as well as functional differential equations. |
Clasificación UNESCO |
120220 ; 120219 |
Palabras clave español |
Sistemas dinámicos ; Gradientes ; Estabilidad ; Ecuaciones diferenciales en derivadas parciales ; Ecuaciones diferenciales funcionales |
Código MathReviews |
MR2063940 |
Código Z-Math |
Zbl 1070.37055 |
Acceso al artículo completo |