The operator of translation along the trajectories of differential equations:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1968
|
| Schriftenreihe: | Translations of mathematical monographs
19 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003949418&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Aus dem Russ. übers. |
| Umfang: | VI, 294 S. graph. Darst. |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV006253789 | ||
| 003 | DE-604 | ||
| 005 | 19980219 | ||
| 007 | t| | ||
| 008 | 930210s1968 xx d||| |||| 00||| eng d | ||
| 035 | |a (OCoLC)252238944 | ||
| 035 | |a (DE-599)BVBBV006253789 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-739 |a DE-355 |a DE-91G |a DE-20 |a DE-384 |a DE-19 |a DE-29T |a DE-83 |a DE-188 | ||
| 084 | |a SK 620 |0 (DE-625)143249: |2 rvk | ||
| 084 | |a MAT 474f |2 stub | ||
| 084 | |a 34C25 |2 msc | ||
| 100 | 1 | |a Krasnoselʹskij, Mark Aleksandrovič |d 1920-1997 |e Verfasser |0 (DE-588)115703853 |4 aut | |
| 240 | 1 | 0 | |a Operator sdviga po traektorijam differencialnych uravenij |
| 245 | 1 | 0 | |a The operator of translation along the trajectories of differential equations |c by M. A. Krasnosel'skiĭ |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1968 | |
| 300 | |a VI, 294 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Translations of mathematical monographs |v 19 | |
| 500 | |a Aus dem Russ. übers. | ||
| 650 | 0 | 7 | |a Gewöhnliche Differentialgleichung |0 (DE-588)4020929-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Periodische Lösung |0 (DE-588)4199269-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialgleichung |0 (DE-588)4012249-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Trajektorie |g Mathematik |0 (DE-588)4406251-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Trajektorie |g Kinematik |0 (DE-588)4208631-0 |2 gnd |9 rswk-swf |
| 655 | 7 | |a Translationsoperator |2 gnd |9 rswk-swf | |
| 689 | 0 | 0 | |a Trajektorie |g Mathematik |0 (DE-588)4406251-5 |D s |
| 689 | 0 | 1 | |a Differentialgleichung |0 (DE-588)4012249-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Trajektorie |g Kinematik |0 (DE-588)4208631-0 |D s |
| 689 | 1 | 1 | |a Gewöhnliche Differentialgleichung |0 (DE-588)4020929-5 |D s |
| 689 | 1 | 2 | |a Translationsoperator |A f |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
| 689 | 2 | 1 | |a Periodische Lösung |0 (DE-588)4199269-6 |D s |
| 689 | 2 | |8 1\p |5 DE-604 | |
| 830 | 0 | |a Translations of mathematical monographs |v 19 |w (DE-604)BV000002394 |9 19 | |
| 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=003949418&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-003949418 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 474f 2001 A 21307 |
|---|---|
| DE-BY-TUM_katkey | 579634 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040010426478 |
| _version_ | 1821938457071583232 |
| adam_text | Table Of Contents
Chapter I. The Translation Operator 1
1. The general principle of existence of periodic solutions 1
2. Differentiation of a translation operator 17
3. The basic theorems on the existence of periodic solutions 30
4. The existence of positive periodic solutions 40
Chapter II. The Method of Guiding functions 66
5. The rotation of a vector field 66
6. The existence of periodic solutions 79
7. The existence of nonzero periodic solutions 130
8. Existence of bounded solutions 148
Chapter III. Uniqueness and Stability of Periodic Solutions . 175
9. Stability and properties of the translation operator 175
10. Uniqueness and stability of positive periodic solutions 192
11. Stability of periodic solutions resulting from an
equilibrium state 220
Appendix I. The Translation Operator and Periodic
Solutions of Differential Equations
in a Banach Space 255
1. Equations with bounded operators 255
2. Equations with unbounded operators 262
3. Application of fractional powers of operators 266
Appendix II. The Translation Operator and the Method
of Integral Equations in the Problem
of Periodic Solutions 270
1. Equivalent integral equations 270
2. The duality principle 274
3. Periodic solutions of equations with lagging argument 277
Bibliography 281
Subject Index 293
vi
|
| any_adam_object | 1 |
| author | Krasnoselʹskij, Mark Aleksandrovič 1920-1997 |
| author_GND | (DE-588)115703853 |
| author_facet | Krasnoselʹskij, Mark Aleksandrovič 1920-1997 |
| author_role | aut |
| author_sort | Krasnoselʹskij, Mark Aleksandrovič 1920-1997 |
| author_variant | m a k ma mak |
| building | Verbundindex |
| bvnumber | BV006253789 |
| classification_rvk | SK 620 |
| classification_tum | MAT 474f |
| ctrlnum | (OCoLC)252238944 (DE-599)BVBBV006253789 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02541nam a2200553 cb4500</leader><controlfield tag="001">BV006253789</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19980219 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">930210s1968 xx d||| |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)252238944</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV006253789</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-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</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">MAT 474f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">34C25</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Krasnoselʹskij, Mark Aleksandrovič</subfield><subfield code="d">1920-1997</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)115703853</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Operator sdviga po traektorijam differencialnych uravenij</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The operator of translation along the trajectories of differential equations</subfield><subfield code="c">by M. A. Krasnosel'skiĭ</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Math. Soc.</subfield><subfield code="c">1968</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VI, 294 S.</subfield><subfield code="b">graph. Darst.</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">Translations of mathematical monographs</subfield><subfield code="v">19</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Aus dem Russ. übers.</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gewöhnliche Differentialgleichung</subfield><subfield code="0">(DE-588)4020929-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Periodische Lösung</subfield><subfield code="0">(DE-588)4199269-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Trajektorie</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4406251-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Trajektorie</subfield><subfield code="g">Kinematik</subfield><subfield code="0">(DE-588)4208631-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Translationsoperator</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Trajektorie</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4406251-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Trajektorie</subfield><subfield code="g">Kinematik</subfield><subfield code="0">(DE-588)4208631-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Gewöhnliche Differentialgleichung</subfield><subfield code="0">(DE-588)4020929-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Translationsoperator</subfield><subfield code="A">f</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Periodische Lösung</subfield><subfield code="0">(DE-588)4199269-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Translations of mathematical monographs</subfield><subfield code="v">19</subfield><subfield code="w">(DE-604)BV000002394</subfield><subfield code="9">19</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=003949418&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-003949418</subfield></datafield></record></collection> |
| genre | Translationsoperator gnd |
| genre_facet | Translationsoperator |
| id | DE-604.BV006253789 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T08:45:30Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003949418 |
| oclc_num | 252238944 |
| open_access_boolean | |
| owner | DE-739 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-20 DE-384 DE-19 DE-BY-UBM DE-29T DE-83 DE-188 |
| owner_facet | DE-739 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-20 DE-384 DE-19 DE-BY-UBM DE-29T DE-83 DE-188 |
| physical | VI, 294 S. graph. Darst. |
| publishDate | 1968 |
| publishDateSearch | 1968 |
| publishDateSort | 1968 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spellingShingle | Krasnoselʹskij, Mark Aleksandrovič 1920-1997 The operator of translation along the trajectories of differential equations Translations of mathematical monographs Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Periodische Lösung (DE-588)4199269-6 gnd Differentialgleichung (DE-588)4012249-9 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Trajektorie Mathematik (DE-588)4406251-5 gnd Trajektorie Kinematik (DE-588)4208631-0 gnd |
| subject_GND | (DE-588)4020929-5 (DE-588)4199269-6 (DE-588)4012249-9 (DE-588)4044779-0 (DE-588)4406251-5 (DE-588)4208631-0 |
| title | The operator of translation along the trajectories of differential equations |
| title_alt | Operator sdviga po traektorijam differencialnych uravenij |
| title_auth | The operator of translation along the trajectories of differential equations |
| title_exact_search | The operator of translation along the trajectories of differential equations |
| title_full | The operator of translation along the trajectories of differential equations by M. A. Krasnosel'skiĭ |
| title_fullStr | The operator of translation along the trajectories of differential equations by M. A. Krasnosel'skiĭ |
| title_full_unstemmed | The operator of translation along the trajectories of differential equations by M. A. Krasnosel'skiĭ |
| title_short | The operator of translation along the trajectories of differential equations |
| title_sort | the operator of translation along the trajectories of differential equations |
| topic | Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Periodische Lösung (DE-588)4199269-6 gnd Differentialgleichung (DE-588)4012249-9 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Trajektorie Mathematik (DE-588)4406251-5 gnd Trajektorie Kinematik (DE-588)4208631-0 gnd |
| topic_facet | Gewöhnliche Differentialgleichung Periodische Lösung Differentialgleichung Partielle Differentialgleichung Trajektorie Mathematik Trajektorie Kinematik Translationsoperator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003949418&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
| work_keys_str_mv | AT krasnoselʹskijmarkaleksandrovic operatorsdvigapotraektorijamdifferencialnychuravenij AT krasnoselʹskijmarkaleksandrovic theoperatoroftranslationalongthetrajectoriesofdifferentialequations |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 474f 2001 A 21307 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |