The Convergence Problem for Dissipative Autonomous Systems Classical Methods and Recent Advances /

The book investigates classical and more recent methods of study for the asymptotic behavior of dissipative continuous dynamical systems with applications to ordinary and partial differential equations, the main question being convergence (or not) of the solutions to an equilibrium. After reviewing...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Haraux, Alain (Autor), Jendoubi, Mohamed Ali (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:SpringerBriefs in Mathematics,
Temas:
Dynamical systems.
Differential equations.
Functional analysis.
Operator theory.
Dynamical Systems.
Differential Equations.
Functional Analysis.
Operator Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1 Introduction
  • 2 Some basic tools
  • 3 Background results on Evolution Equations.- 4 Uniformly damped linear semi-groups.- 5 Generalities on dynamical systems.- 6 The linearization method.- 7 Gradient-like systems.- 8 Liapunov's second method - invariance principle.- 9 Some basic examples.- 10 The convergence problem in finite dimensions
  • 11 The infinite dimensional case
  • 12 Variants and additional results.

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