UID:
almahu_9949462265402882
Format:
1 online resource (231 p.)
Edition:
Reprint 2011
ISBN:
9783110870893
,
9783110647099
Series Statement:
De Gruyter Series in Nonlinear Analysis and Applications , 7
Content:
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.
Note:
Frontmatter --
,
Introduction --
,
Contents --
,
Chapter 1. Multivalued maps: general properties --
,
Chapter 2. Measures of noncompactness and condensing multimaps --
,
Chapter 3. Topological degree theory for condensing multifields --
,
Chapter 4. Semigroups and measures of noncompactness --
,
Chapter 5. Semilinear differential inclusions: initial problem --
,
Chapter 6. Semilinear inclusions: periodic problems --
,
Bibliographic notes --
,
Bibliography --
,
Index
,
Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Studies in Nonlinear Analysis and Applications, De Gruyter, 9783110647099
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-DITION 2: BEST OF MATHEMATICS, PHYSICS, De Gruyter, 9783110306569
Additional Edition:
ISBN 9783110169898
Language:
English
Subjects:
Mathematics
DOI:
10.1515/9783110870893
URL:
https://doi.org/10.1515/9783110870893
URL:
https://www.degruyter.com/isbn/9783110870893
URL:
https://doi.org/10.1515/9783110870893
URL:
https://doi.org/10.1515/9783110870893
