The convergence problem for dissipative autonomous systems : classical methods and recent advances / / by Alain Haraux, Mohamed Ali Jendoubi |
Autore | Haraux Alain |
Edizione | [1st ed. 2015.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
Descrizione fisica | 1 online resource (147 p.) |
Disciplina | 515.24 |
Collana | SpringerBriefs in Mathematics |
Soggetto topico |
Dynamics
Ergodic theory Partial differential equations Functional analysis Operator theory Differential equations Dynamical Systems and Ergodic Theory Partial Differential Equations Functional Analysis Operator Theory Ordinary Differential Equations |
ISBN | 3-319-23407-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 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. |
Record Nr. | UNINA-9910300241703321 |
Haraux Alain | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Nonlinear Vibrations and the Wave Equation / / by Alain Haraux |
Autore | Haraux Alain |
Edizione | [1st ed. 2018.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
Descrizione fisica | 1 online resource (X, 102 p.) |
Disciplina | 531.113301515355 |
Collana | SpringerBriefs in Mathematics |
Soggetto topico |
Partial differential equations
Functional analysis Partial Differential Equations Functional Analysis |
ISBN | 3-319-78515-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Unbounded Linear Operators and Evolution Equations -- 2 A Class of Abstract Wave Equations -- 3 Almost Periodic Functions and the Abstract Wave Equation -- 4 The Wave Equation in a Bounded Domain -- 5 The Initial-Value Problem for a Mildly Perturbed Wave Equation -- 6 The Initial-Value Problem in Presence of a Strong Dissipation -- 7 Solutions on R+ and Boundedness of the Energy -- 8 Existence of Forced Oscillations -- 9 Stability of Periodic or Almost Periodic Solutions -- 10 The Conservative Case in One Spatial Dimension -- 11 The Conservative Case in Several Spatial Dimensions -- 12 Thirthy Years After. |
Record Nr. | UNINA-9910300103503321 |
Haraux Alain | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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