Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces / / Mikhail I. Kamenskii, Valeri V. Obukhovskii, Pietro Zecca.
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 appl...
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Superior document: | Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2011] ©2001 |
Year of Publication: | 2011 |
Edition: | Reprint 2011 |
Language: | English |
Series: | De Gruyter Series in Nonlinear Analysis and Applications ,
7 |
Online Access: | |
Physical Description: | 1 online resource (231 p.) |
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024 | 7 | |a 10.1515/9783110870893 |2 doi | |
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035 | |a (OCoLC)979748143 | ||
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100 | 1 | |a Kamenskii, Mikhail I., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 0 | |a Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces / |c Mikhail I. Kamenskii, Valeri V. Obukhovskii, Pietro Zecca. |
250 | |a Reprint 2011 | ||
264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2011] | |
264 | 4 | |c ©2001 | |
300 | |a 1 online resource (231 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
490 | 0 | |a De Gruyter Series in Nonlinear Analysis and Applications , |x 0941-813X ; |v 7 | |
505 | 0 | 0 | |t Frontmatter -- |t Introduction -- |t Contents -- |t Chapter 1. Multivalued maps: general properties -- |t Chapter 2. Measures of noncompactness and condensing multimaps -- |t Chapter 3. Topological degree theory for condensing multifields -- |t Chapter 4. Semigroups and measures of noncompactness -- |t Chapter 5. Semilinear differential inclusions: initial problem -- |t Chapter 6. Semilinear inclusions: periodic problems -- |t Bibliographic notes -- |t Bibliography -- |t Index |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a 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. | ||
530 | |a Issued also in print. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) | |
650 | 0 | |a Banach spaces. | |
650 | 0 | |a Differential inclusions. | |
650 | 0 | |a Set-valued maps. | |
650 | 4 | |a Banach-Raum. | |
650 | 4 | |a Differentialinklusion. | |
650 | 4 | |a Mengenwertige Abbildung. | |
650 | 7 | |a MATHEMATICS / General. |2 bisacsh | |
700 | 1 | |a Obukhovskii, Valeri V., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
700 | 1 | |a Zecca, Pietro, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Studies in Nonlinear Analysis and Applications |z 9783110647099 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Complete English Language 2000-2014 PART1 |z 9783110238570 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Mathematics 2000-2014 (EN) |z 9783110238471 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Mathematics - 2000 - 2014 |z 9783110637205 |o ZDB-23-GMA |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-DITION 2: BEST OF MATHEMATICS, PHYSICS |z 9783110306569 |o ZDB-23-DBI |
776 | 0 | |c print |z 9783110169898 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9783110870893 |
856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110870893 |
856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783110870893/original |
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