Evolution semigroups in dynamical systems and differential equations:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
[1999]
|
| Series: | Mathematical surveys and monographs
Volume 70 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | x, 361 Seiten |
| ISBN: | 0821811851 9780821811856 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV013151292 | ||
| 003 | DE-604 | ||
| 005 | 20230911 | ||
| 007 | t | ||
| 008 | 000515s1999 |||| 00||| eng d | ||
| 020 | |a 0821811851 |9 0-8218-1185-1 | ||
| 020 | |a 9780821811856 |9 978-0-8218-1185-6 | ||
| 035 | |a (OCoLC)41361427 | ||
| 035 | |a (DE-599)BVBBV013151292 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-11 |a DE-188 |a DE-739 | ||
| 050 | 0 | |a QA329 | |
| 082 | 0 | |a 515/.724 |2 21 | |
| 084 | |a SK 620 |0 (DE-625)143249: |2 rvk | ||
| 084 | |a SK 810 |0 (DE-625)143257: |2 rvk | ||
| 084 | |a SK 540 |0 (DE-625)143245: |2 rvk | ||
| 100 | 1 | |a Chicone, Carmen |d 1946- |e Verfasser |0 (DE-588)1056093501 |4 aut | |
| 245 | 1 | 0 | |a Evolution semigroups in dynamical systems and differential equations |c Carmen Chicone ; Yuri Latushkin |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [1999] | |
| 264 | 4 | |c © 1999 | |
| 300 | |a x, 361 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical surveys and monographs |v Volume 70 | |
| 650 | 7 | |a Dynamique différentiable |2 ram | |
| 650 | 7 | |a Equations d'évolution |2 ram | |
| 650 | 7 | |a Equations différentielles |2 ram | |
| 650 | 7 | |a Semigroupes d'opérateurs |2 ram | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Evolution equations | |
| 650 | 4 | |a Semigroups of operators | |
| 650 | 0 | 7 | |a Evolutionshalbgruppe |0 (DE-588)4480821-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Evolutionshalbgruppe |0 (DE-588)4480821-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Latushkin, Yuri |e Verfasser |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4704-1297-5 |
| 830 | 0 | |a Mathematical surveys and monographs |v Volume 70 |w (DE-604)BV000018014 |9 70 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008960316&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-008960316 | ||
Record in the Search Index
| _version_ | 1804127850962354176 |
|---|---|
| adam_text | Contents
Chapter 1. Introduction 1
1.1. Motivations and main results 2
1.2. Historical comments 6
1.3. Organization and content 8
Chapter 2. Semigroups on Banach Spaces and Evolution Semigroups 21
2.1. Introduction to semigroups 21
2.2. Evolution semigroups and hyperbolicity 37
2.3. Bibliography and remarks 53
Chapter 3. Evolution Families and Howland Semigroups 57
3.1. Evolution families and dichotomy 57
3.2. Howland semigroups on the line 62
3.3. Howland semigroups on the half line 73
3.4. Bibliography and remarks 78
Chapter 4. Characterizations of Dichotomy for Evolution Families 87
4.1. Discrete dichotomies: an algebraic approach 87
4.2. Green s function and evolution semigroups 103
4.3. Dichotomy and solutions of nonhomogeneous equations 107
4.4. Hyperbolicity and dissipativity 118
4.5. Bibliography and remarks 126
Chapter 5. Two Applications of Evolution Semigroups 131
5.1. Control theory 131
5.2. Persistence of dichotomy 155
5.3. Bibliography and remarks 158
Chapter 6. Linear Skew Product Flows and Mather Evolution Semigroups 163
6.1. Linear skew product flows and dichotomy 163
6.2. The Mather semigroup 173
6.3. Sacker Sell spectral theory 191
6.4. Bibliography and remarks 200
Chapter 7. Characterizations of Dichotomy for Linear Skew Product Flows 205
7.1. Pointwise dichotomies 205
7.2. The Annular Hull Theorem 222
7.3. Dichotomy, mild solutions, and Green s function 230
7.4. Isomorphism Theorems 240
7.5. Dichotomy and quadratic Lyapunov function 246
7.6. Bibliography and remarks 256
ix
x CONTENTS
Chapter 8. Evolution Operators and Exact Lyapunov Exponents 261
8.1. Oseledets Theorem and linear skew product flows 261
8.2. The kinematic dynamo operator 274
8.3. The Ruelle transfer operator 304
8.4. Bibliography and remarks 332
Bibliography 341
List of Notations 357
Index 359
|
| any_adam_object | 1 |
| author | Chicone, Carmen 1946- Latushkin, Yuri |
| author_GND | (DE-588)1056093501 |
| author_facet | Chicone, Carmen 1946- Latushkin, Yuri |
| author_role | aut aut |
| author_sort | Chicone, Carmen 1946- |
| author_variant | c c cc y l yl |
| building | Verbundindex |
| bvnumber | BV013151292 |
| callnumber-first | Q - Science |
| callnumber-label | QA329 |
| callnumber-raw | QA329 |
| callnumber-search | QA329 |
| callnumber-sort | QA 3329 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 620 SK 810 SK 540 |
| ctrlnum | (OCoLC)41361427 (DE-599)BVBBV013151292 |
| dewey-full | 515/.724 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.724 |
| dewey-search | 515/.724 |
| dewey-sort | 3515 3724 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02100nam a2200529 cb4500</leader><controlfield tag="001">BV013151292</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230911 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">000515s1999 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821811851</subfield><subfield code="9">0-8218-1185-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780821811856</subfield><subfield code="9">978-0-8218-1185-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)41361427</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013151292</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-739</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA329</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.724</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 620</subfield><subfield code="0">(DE-625)143249:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 810</subfield><subfield code="0">(DE-625)143257:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 540</subfield><subfield code="0">(DE-625)143245:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Chicone, Carmen</subfield><subfield code="d">1946-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1056093501</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Evolution semigroups in dynamical systems and differential equations</subfield><subfield code="c">Carmen Chicone ; Yuri Latushkin</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, Rhode Island</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">[1999]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 1999</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">x, 361 Seiten</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Mathematical surveys and monographs</subfield><subfield code="v">Volume 70</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Dynamique différentiable</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Equations d'évolution</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Equations différentielles</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Semigroupes d'opérateurs</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differentiable dynamical systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Evolution equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Semigroups of operators</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Evolutionshalbgruppe</subfield><subfield code="0">(DE-588)4480821-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Evolutionshalbgruppe</subfield><subfield code="0">(DE-588)4480821-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Latushkin, Yuri</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-1-4704-1297-5</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Mathematical surveys and monographs</subfield><subfield code="v">Volume 70</subfield><subfield code="w">(DE-604)BV000018014</subfield><subfield code="9">70</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008960316&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-008960316</subfield></datafield></record></collection> |
| id | DE-604.BV013151292 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:39:54Z |
| institution | BVB |
| isbn | 0821811851 9780821811856 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008960316 |
| oclc_num | 41361427 |
| open_access_boolean | |
| owner | DE-384 DE-11 DE-188 DE-739 |
| owner_facet | DE-384 DE-11 DE-188 DE-739 |
| physical | x, 361 Seiten |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Chicone, Carmen 1946- Verfasser (DE-588)1056093501 aut Evolution semigroups in dynamical systems and differential equations Carmen Chicone ; Yuri Latushkin Providence, Rhode Island American Mathematical Society [1999] © 1999 x, 361 Seiten txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs Volume 70 Dynamique différentiable ram Equations d'évolution ram Equations différentielles ram Semigroupes d'opérateurs ram Differentiable dynamical systems Differential equations Evolution equations Semigroups of operators Evolutionshalbgruppe (DE-588)4480821-5 gnd rswk-swf Evolutionshalbgruppe (DE-588)4480821-5 s DE-604 Latushkin, Yuri Verfasser aut Erscheint auch als Online-Ausgabe 978-1-4704-1297-5 Mathematical surveys and monographs Volume 70 (DE-604)BV000018014 70 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008960316&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chicone, Carmen 1946- Latushkin, Yuri Evolution semigroups in dynamical systems and differential equations Mathematical surveys and monographs Dynamique différentiable ram Equations d'évolution ram Equations différentielles ram Semigroupes d'opérateurs ram Differentiable dynamical systems Differential equations Evolution equations Semigroups of operators Evolutionshalbgruppe (DE-588)4480821-5 gnd |
| subject_GND | (DE-588)4480821-5 |
| title | Evolution semigroups in dynamical systems and differential equations |
| title_auth | Evolution semigroups in dynamical systems and differential equations |
| title_exact_search | Evolution semigroups in dynamical systems and differential equations |
| title_full | Evolution semigroups in dynamical systems and differential equations Carmen Chicone ; Yuri Latushkin |
| title_fullStr | Evolution semigroups in dynamical systems and differential equations Carmen Chicone ; Yuri Latushkin |
| title_full_unstemmed | Evolution semigroups in dynamical systems and differential equations Carmen Chicone ; Yuri Latushkin |
| title_short | Evolution semigroups in dynamical systems and differential equations |
| title_sort | evolution semigroups in dynamical systems and differential equations |
| topic | Dynamique différentiable ram Equations d'évolution ram Equations différentielles ram Semigroupes d'opérateurs ram Differentiable dynamical systems Differential equations Evolution equations Semigroups of operators Evolutionshalbgruppe (DE-588)4480821-5 gnd |
| topic_facet | Dynamique différentiable Equations d'évolution Equations différentielles Semigroupes d'opérateurs Differentiable dynamical systems Differential equations Evolution equations Semigroups of operators Evolutionshalbgruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008960316&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000018014 |
| work_keys_str_mv | AT chiconecarmen evolutionsemigroupsindynamicalsystemsanddifferentialequations AT latushkinyuri evolutionsemigroupsindynamicalsystemsanddifferentialequations |