Smoothness of the attractor of almost all solutions of a delay differential equation:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Warszawa
Inst. Matematyczny
1997
|
| Series: | Dissertationes mathematicae
368 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 72 S. |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV011643210 | ||
| 003 | DE-604 | ||
| 005 | 19980209 | ||
| 007 | t| | ||
| 008 | 971124s1997 xx |||| 00||| eng d | ||
| 035 | |a (OCoLC)258703611 | ||
| 035 | |a (DE-599)BVBBV011643210 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-739 |a DE-29T |a DE-12 |a DE-188 | ||
| 084 | |a SI 390 |0 (DE-625)143141: |2 rvk | ||
| 084 | |a MAT 344d |2 stub | ||
| 100 | 1 | |a Walther, Hans-Otto |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Smoothness of the attractor of almost all solutions of a delay differential equation |c Hans-Otto Walther and Mustapha Yebdri |
| 264 | 1 | |a Warszawa |b Inst. Matematyczny |c 1997 | |
| 300 | |a 72 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Dissertationes mathematicae |v 368 | |
| 650 | 0 | 7 | |a Glattheit |g Mathematik |0 (DE-588)4301805-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Attraktor |0 (DE-588)4140563-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialgleichung mit nacheilendem Argument |0 (DE-588)4199298-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialgleichung mit nacheilendem Argument |0 (DE-588)4199298-2 |D s |
| 689 | 0 | 1 | |a Attraktor |0 (DE-588)4140563-8 |D s |
| 689 | 0 | 2 | |a Glattheit |g Mathematik |0 (DE-588)4301805-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Yebdri, Mustapha |e Verfasser |4 aut | |
| 830 | 0 | |a Dissertationes mathematicae |v 368 |w (DE-604)BV000003039 |9 368 | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007847151&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |n oe | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007847151 | |
Record in the Search Index
| _version_ | 1824936673284194304 |
|---|---|
| adam_text |
POLSKA AKADEMIA NAUK, INSTYTUT MATEMATYCZNY DISSERTATIONES MATHEMATICAE
(ROZPRAWY MATEMATYCZNE) KOMITET REDAKCYJNY ANDRZEJ BIALYNICKI-BIRULA,
BOGDAN BOJARSKI, ZBIGNIEW CIESIELSKI, JERZY LOS, ZBIGNIEW SEMADENI,
JERZY ZABCZYK REDAKTOR, WIESLAW ZELAZKO ZAST^PCA REDAKTORA CCCLXVIII
HANS-OTTO WALTHER AND MUSTAPHA YEBDRI SMOOTHNESS OF THE ATTRACTOR OF
ALMOST ALL SOLUTIONS OF A DELAY DIFFERENTIAL EQUATION SUB G6TT!NGEN 7
207 668 043 WARSZAWA 1997 CONTENTS 1. INTRODUCTION 5 2. THE DELAY
DIFFERENTIAL EQUATION AND ITS ATTRACTOR OF ALMOST ALL SOLUTIONS 9 2.1.
THE DELAY DIFFERENTIAL EQUATION 9 2.2. SLOWLY OSCILLATING SOLUTIONS 13
2.3. THE ATTRACTOR OF EVENTUALLY SLOWLY OSCILLATING SOLUTIONS 16 2.4.
FLOQUET MULTIPLIERS OF SLOWLY OSCILLATING PERIODIC SOLUTIONS AND ADAPTED
POINCARE MAPS 21 2.5. LOCAL INVARIANT MANIFOLDS 27 3. A-PRIORI ESTIMATES
33 3.1. NONAUTONOMOUS EQUATIONS 33 3.2. VECTORS TANGENT TO THE ATTRACTOR
AND TO DOMAINS OF ADAPTED POINCARE MAPS 39 4. TRANSVERSALS ON THE
ATTRACTOR AND SMOOTHNESS 41 4.1. A SUFFICIENT CONDITION FOR SMOOTHNESS
41 4.2. SMOOTHNESS AT WANDERING POINTS 42 5. CURVES ON THE ATTRACTOR
EMANATING FROM PERIODIC ORBITS AND CONNECTING THE STATIONARY POINT TO A
PERIODIC ORBIT 44 5.1. PROM LINES IN THE PLANE L TO CURVES ON THE GRAPH
A WHICH ARE TRANSVERSAL TO THE FLOW 44 5.2. ARCS EMANATING FROM PERIODIC
ORBITS 45 5.3. SMOOTH ENDS AT PERIODIC ORBITS 47 5.4. A CURVE ON A
CONNECTING 0 IN K TO A PERIODIC ORBIT 53 6. SMOOTHNESS AT PERIODIC
ORBITS 59 6.1. INTERIOR PERIODIC ORBITS 59 6.2. SMOOTHNESS AT THE
BOUNDARY 62 7. SMOOTHNESS AT THE STATIONARY POINT 63 7.1. CASES OF NO
ATTRACTION 63 7.2. ON THE INCLINATION OF TANGENT SPACES OF THE ATTRACTOR
CLOSE TO THE STATIONARY POINT 65 7.3. THE CASES OF ATTRACTION 68
REFERENCES 71 1991 MATHEMATICS SUBJECT CLASSIFICATION: 34K15, 58F12.
RECEIVED 17.6.1996; REVISED VERSION 20.11.1996. |
| any_adam_object | 1 |
| author | Walther, Hans-Otto Yebdri, Mustapha |
| author_facet | Walther, Hans-Otto Yebdri, Mustapha |
| author_role | aut aut |
| author_sort | Walther, Hans-Otto |
| author_variant | h o w how m y my |
| building | Verbundindex |
| bvnumber | BV011643210 |
| classification_rvk | SI 390 |
| classification_tum | MAT 344d |
| ctrlnum | (OCoLC)258703611 (DE-599)BVBBV011643210 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV011643210</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19980209</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">971124s1997 xx |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)258703611</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011643210</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 390</subfield><subfield code="0">(DE-625)143141:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 344d</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Walther, Hans-Otto</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Smoothness of the attractor of almost all solutions of a delay differential equation</subfield><subfield code="c">Hans-Otto Walther and Mustapha Yebdri</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Warszawa</subfield><subfield code="b">Inst. Matematyczny</subfield><subfield code="c">1997</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">72 S.</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">Dissertationes mathematicae</subfield><subfield code="v">368</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Glattheit</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4301805-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Attraktor</subfield><subfield code="0">(DE-588)4140563-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialgleichung mit nacheilendem Argument</subfield><subfield code="0">(DE-588)4199298-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialgleichung mit nacheilendem Argument</subfield><subfield code="0">(DE-588)4199298-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Attraktor</subfield><subfield code="0">(DE-588)4140563-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Glattheit</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4301805-1</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">Yebdri, Mustapha</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Dissertationes mathematicae</subfield><subfield code="v">368</subfield><subfield code="w">(DE-604)BV000003039</subfield><subfield code="9">368</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV 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=007847151&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="n">oe</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007847151</subfield></datafield></record></collection> |
| id | DE-604.BV011643210 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-24T11:07:13Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007847151 |
| oclc_num | 258703611 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-739 DE-29T DE-12 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-739 DE-29T DE-12 DE-188 |
| physical | 72 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Inst. Matematyczny |
| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Walther, Hans-Otto Verfasser aut Smoothness of the attractor of almost all solutions of a delay differential equation Hans-Otto Walther and Mustapha Yebdri Warszawa Inst. Matematyczny 1997 72 S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 368 Glattheit Mathematik (DE-588)4301805-1 gnd rswk-swf Attraktor (DE-588)4140563-8 gnd rswk-swf Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd rswk-swf Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 s Attraktor (DE-588)4140563-8 s Glattheit Mathematik (DE-588)4301805-1 s DE-604 Yebdri, Mustapha Verfasser aut Dissertationes mathematicae 368 (DE-604)BV000003039 368 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007847151&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Walther, Hans-Otto Yebdri, Mustapha Smoothness of the attractor of almost all solutions of a delay differential equation Dissertationes mathematicae Glattheit Mathematik (DE-588)4301805-1 gnd Attraktor (DE-588)4140563-8 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
| subject_GND | (DE-588)4301805-1 (DE-588)4140563-8 (DE-588)4199298-2 |
| title | Smoothness of the attractor of almost all solutions of a delay differential equation |
| title_auth | Smoothness of the attractor of almost all solutions of a delay differential equation |
| title_exact_search | Smoothness of the attractor of almost all solutions of a delay differential equation |
| title_full | Smoothness of the attractor of almost all solutions of a delay differential equation Hans-Otto Walther and Mustapha Yebdri |
| title_fullStr | Smoothness of the attractor of almost all solutions of a delay differential equation Hans-Otto Walther and Mustapha Yebdri |
| title_full_unstemmed | Smoothness of the attractor of almost all solutions of a delay differential equation Hans-Otto Walther and Mustapha Yebdri |
| title_short | Smoothness of the attractor of almost all solutions of a delay differential equation |
| title_sort | smoothness of the attractor of almost all solutions of a delay differential equation |
| topic | Glattheit Mathematik (DE-588)4301805-1 gnd Attraktor (DE-588)4140563-8 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
| topic_facet | Glattheit Mathematik Attraktor Differentialgleichung mit nacheilendem Argument |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007847151&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003039 |
| work_keys_str_mv | AT waltherhansotto smoothnessoftheattractorofalmostallsolutionsofadelaydifferentialequation AT yebdrimustapha smoothnessoftheattractorofalmostallsolutionsofadelaydifferentialequation |