Measures of noncompactness and condensing operators:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Basel [u.a.]
Birkhäuser
1992
|
| Series: | Operator theory
55 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Russ. übers. |
| Physical Description: | VIII, 249 S. |
| ISBN: | 3764327162 0817627162 |
Staff View
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| 130 | 0 | |a Mery nekompaktnosti i uplotnjajuščie operatory | |
| 245 | 1 | 0 | |a Measures of noncompactness and condensing operators |c R. R. Akhmerov ... |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 1992 | |
| 300 | |a VIII, 249 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Operator theory |v 55 | |
| 500 | |a Aus d. Russ. übers. | ||
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
Introduction vii
Chapter 1. MEASURES OF NONCOMPACTNESS 1
1.1. The Kuratowski and Hausdorff measures of noncompactness 1
1.2. The general notion of measure of noncompactness 9
1.3. The measure of noncompactness /? 13
1.4. Sequential measures of noncompactness 17
1.5. Condensing operators 21
1.6. Ultimately compact operators 27
1.7. /i operators 35
1.8. Survey of the literature 44
Chapter 2. THE LINEAR THEORY 53
2.1. Fredholm operators 53
2.2. The ( operation and normal measures of noncompactness 55
2.3. Fredholmness criteria for operators 57
2.4. The ()/ !, */ 2) norms of an operator 61
2.5. The measure of noncompactness of the conjugate operator 67
2.6. The Fredholm spectrum of a bounded linear operator 73
2.7. Normal measures of noncompactness and perturbation theory
for linear operators 81
2.8. Survey of the literature 94
Chapter 3. THE FIXED POINT INDEX OF CONDENSING OPERATORS 99
3.1. Definitions and properties of the index 99
3.2. Examples of computation of the index of a condensing operator 105
3.3. Linear and differentiable condensing operators 107
vi TABLE OF CONTENTS
3.4. Further properties of the index 111
3.5. Generalization of the notion of index to various classes of maps 118
3.6. The index of operators in locally convex spaces 128
3.7. The relative index 133
3.8. The index of positive operators 137
3.9. Survey of the literature 142
Chapter 4. APPLICATIONS 151
4.1. Differential equations in Banach space 151
4.2. Ito stochastic equations with deviating argument 159
4.3. The Cauchy problem for equations of neutral type 164
4.4. Periodic solutions of an equation of neutral point with small delay 175
4.5. The averaging principle for equations of neutral type 190
4.6. On the stability of solutions of equations of neutral type 203
4.7. Floquet theory for equations of neutral type 212
4.8. Continuous dependence of the Floquet exponents on the delay 216
4.9. Measures of noncompactness and condensing operators in spaces of
integrable functions 220
References 233
Subject index 245
|
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| id | DE-604.BV004710997 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:16:31Z |
| institution | BVB |
| isbn | 3764327162 0817627162 |
| language | English |
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| physical | VIII, 249 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Operator theory |
| series2 | Operator theory |
| spelling | Mery nekompaktnosti i uplotnjajuščie operatory Measures of noncompactness and condensing operators R. R. Akhmerov ... Basel [u.a.] Birkhäuser 1992 VIII, 249 S. txt rdacontent n rdamedia nc rdacarrier Operator theory 55 Aus d. Russ. übers. Nichtkompaktheitsmaß (DE-588)4295482-4 gnd rswk-swf Kondensierender Operator (DE-588)4295481-2 gnd rswk-swf Kondensierender Operator (DE-588)4295481-2 s Nichtkompaktheitsmaß (DE-588)4295482-4 s DE-604 Achmerov, Rustjam R. Sonstige oth Operator theory 55 (DE-604)BV000000970 55 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002895753&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Measures of noncompactness and condensing operators Operator theory Nichtkompaktheitsmaß (DE-588)4295482-4 gnd Kondensierender Operator (DE-588)4295481-2 gnd |
| subject_GND | (DE-588)4295482-4 (DE-588)4295481-2 |
| title | Measures of noncompactness and condensing operators |
| title_alt | Mery nekompaktnosti i uplotnjajuščie operatory |
| title_auth | Measures of noncompactness and condensing operators |
| title_exact_search | Measures of noncompactness and condensing operators |
| title_full | Measures of noncompactness and condensing operators R. R. Akhmerov ... |
| title_fullStr | Measures of noncompactness and condensing operators R. R. Akhmerov ... |
| title_full_unstemmed | Measures of noncompactness and condensing operators R. R. Akhmerov ... |
| title_short | Measures of noncompactness and condensing operators |
| title_sort | measures of noncompactness and condensing operators |
| topic | Nichtkompaktheitsmaß (DE-588)4295482-4 gnd Kondensierender Operator (DE-588)4295481-2 gnd |
| topic_facet | Nichtkompaktheitsmaß Kondensierender Operator |
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