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Englisch
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Beschreibung
The asymptotic behaviour, in particular "stability" in some sense, is studied systematically for discrete and for continuous linear dynamical systems on Banach spaces. Of particular concern is convergence to an equilibrium with respect to various topologies. Parallels and differences between the discrete and the continuous situation are emphasised.
The asymptotic behaviour, in particular "stability" in some sense, is studied systematically for discrete and for continuous linear dynamical systems on Banach spaces. Of particular concern is convergence to an equilibrium with respect to various topologies. Parallels and differences between the discrete and the continuous situation are emphasised.
Zusammenfassung
Joint treatment of discrete and continuous systems
Careful investigation of the behavior with respect to different topologies on infinite dimensional spaces
Includes supplementary material: [...]
Inhaltsverzeichnis
Introduction.- Chapter I. Functional analytic tools.- 1. Structure of compact semigroups.- 2. Mean ergodicity.- 3. Tools from semigroup theory.- Chapter II. Stability of linear operators.- 1. Power boundedness.- 2. Strong stability.- 3. Weak stability.- 4. Almost weak stability.- 5. Abstract examples.- 6. Stability via Lyapunov equation.- Chapter III. Stability of C0-semigroups.- 1. Boundedness.- 2. Uniform exponential stability.- 3. Strong stability.- 4. Weak stability.- 5. Almost weak stability.- 6. Abstract examples.- 7. Stability via Lyapunov equation.- Chapter IV. Discrete vs. continuous.- 1. Embedding operators into C0-semigroups.- 2. Cogenerators.- Bibliography.
Details
Erscheinungsjahr: | 2010 |
---|---|
Fachbereich: | Analysis |
Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Inhalt: |
vii
204 S. 8 s/w Illustr. 204 p. 8 illus. |
ISBN-13: | 9783034601948 |
ISBN-10: | 3034601948 |
Sprache: | Englisch |
Herstellernummer: | 12674909 |
Einband: | Gebunden |
Autor: | Eisner, Tanja |
Hersteller: |
Springer Basel
Springer Basel AG |
Verantwortliche Person für die EU: | Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com |
Maße: | 246 x 173 x 17 mm |
Von/Mit: | Tanja Eisner |
Erscheinungsdatum: | 15.07.2010 |
Gewicht: | 0,547 kg |
Zusammenfassung
Joint treatment of discrete and continuous systems
Careful investigation of the behavior with respect to different topologies on infinite dimensional spaces
Includes supplementary material: [...]
Inhaltsverzeichnis
Introduction.- Chapter I. Functional analytic tools.- 1. Structure of compact semigroups.- 2. Mean ergodicity.- 3. Tools from semigroup theory.- Chapter II. Stability of linear operators.- 1. Power boundedness.- 2. Strong stability.- 3. Weak stability.- 4. Almost weak stability.- 5. Abstract examples.- 6. Stability via Lyapunov equation.- Chapter III. Stability of C0-semigroups.- 1. Boundedness.- 2. Uniform exponential stability.- 3. Strong stability.- 4. Weak stability.- 5. Almost weak stability.- 6. Abstract examples.- 7. Stability via Lyapunov equation.- Chapter IV. Discrete vs. continuous.- 1. Embedding operators into C0-semigroups.- 2. Cogenerators.- Bibliography.
Details
Erscheinungsjahr: | 2010 |
---|---|
Fachbereich: | Analysis |
Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Inhalt: |
vii
204 S. 8 s/w Illustr. 204 p. 8 illus. |
ISBN-13: | 9783034601948 |
ISBN-10: | 3034601948 |
Sprache: | Englisch |
Herstellernummer: | 12674909 |
Einband: | Gebunden |
Autor: | Eisner, Tanja |
Hersteller: |
Springer Basel
Springer Basel AG |
Verantwortliche Person für die EU: | Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com |
Maße: | 246 x 173 x 17 mm |
Von/Mit: | Tanja Eisner |
Erscheinungsdatum: | 15.07.2010 |
Gewicht: | 0,547 kg |
Sicherheitshinweis