Buch, Englisch, 231 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 599 g
Reihe: ISSN
Buch, Englisch, 231 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 599 g
Reihe: ISSN
ISBN: 978-3-11-016989-8
Verlag: De Gruyter
The theory of set-valued maps and of differential inclusion is developed in recent years both as a field of his own and as an approach to control theory. The book deals with the theory of semilinear differential inclusions in infinite dimensional spaces. In this setting, problems of interest to applications do not suppose neither convexity of the map or compactness of the multi-operators. These assumption implies the development of the theory of measure of noncompactness and the construction of a degree theory for condensing mapping. Of particular interest is the approach to the case when the linear part is a generator of a condensing, strongly continuous semigroup. In this context, the existence of solutions for the Cauchy and periodic problems are proved as well as the topological properties of the solution sets. Examples of applications to the control of transmission line and to hybrid systems are presented.
Zielgruppe
Research Mathematicians in Particular Analysts
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
- Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
- Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
Weitere Infos & Material
Multivalued maps: general properties · Measures of noncompactness and condensing multimaps · Topological degree theory for condensing multifields · Semigroups and measures of noncompactness · Semilinear differential inclusions: initial problem · Semilinear inclusions: periodic problems
Bibliographic notes
