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

• Κύριοι συγγραφείς: Haraux, Alain (Συγγραφέας), Jendoubi, Mohamed Ali (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Έκδοση: 1st ed. 2015.
• Σειρά: SpringerBriefs in Mathematics,
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Functional analysis.; Operator theory.; Differential equations.; Partial differential equations.; Dynamical Systems and Ergodic Theory.; Partial Differential Equations.; Functional Analysis.; Operator Theory.; Ordinary Differential Equations.

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...

Πίνακας περιεχομένων:

• 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.