Method of Spectral Mappings in the Inverse Problem Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin/Boston
De Gruyter
[2002]
|
| Schriftenreihe: | Inverse and Ill-Posed Problems Series
31 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Inverse problems of spectral analysis consist in recovering operators from their spectral characteristics. Such problems often appear in mathematics, mechanics, physics, electronics, geophysics, meteorology and other branches of natural science. This monographis devoted to inverse problems of spectral analysis for ordinary differential equations. Its aim ist topresent the main results on inverse spectral problems using the so-called method of spectral mappings, which is one of the main tools in inverse spectral theory. The book consists of three chapters: In Chapter1the method of spectral mappings ispresented in the simplest version for the Sturm-Liouville operator. In Chapter 2the inverse problem of recovering higher-order differential operators of the form, on the half-line and on a finite interval, is considered. In Chapter 3inverse spectral problems for differential operators with nonlinear dependence on the spectral parameter are studied |
| Beschreibung: | 1 Online-Ressource (iii,303p.) |
| ISBN: | 9783110940961 9789067643559 9783111826882 |
| DOI: | 10.1515/9783110940961 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042525032 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150423s2002 |||| o||u| ||||||eng d | ||
| 020 | |a 9783110940961 |9 978-3-11-094096-1 | ||
| 020 | |a 9789067643559 |c Print |9 978-90-6764-355-9 | ||
| 020 | |a 9783111826882 |c Print+Online |9 978-3-11-182688-2 | ||
| 024 | 7 | |a 10.1515/9783110940961 |2 doi | |
| 035 | |a (OCoLC)865508321 | ||
| 035 | |a (DE-599)BVBBV042525032 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-859 |a DE-860 |a DE-Aug4 |a DE-739 |a DE-1046 |a DE-706 |a DE-703 |a DE-1043 |a DE-858 |a DE-19 | ||
| 082 | 0 | |a 515/.35 |2 23 | |
| 100 | 1 | |a Yurko, Vacheslav A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Method of Spectral Mappings in the Inverse Problem Theory |c Vacheslav A. Yurko |
| 264 | 1 | |a Berlin/Boston |b De Gruyter |c [2002] | |
| 300 | |a 1 Online-Ressource (iii,303p.) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Inverse and Ill-Posed Problems Series |v 31 | |
| 500 | |a Inverse problems of spectral analysis consist in recovering operators from their spectral characteristics. Such problems often appear in mathematics, mechanics, physics, electronics, geophysics, meteorology and other branches of natural science. This monographis devoted to inverse problems of spectral analysis for ordinary differential equations. Its aim ist topresent the main results on inverse spectral problems using the so-called method of spectral mappings, which is one of the main tools in inverse spectral theory. The book consists of three chapters: In Chapter1the method of spectral mappings ispresented in the simplest version for the Sturm-Liouville operator. In Chapter 2the inverse problem of recovering higher-order differential operators of the form, on the half-line and on a finite interval, is considered. In Chapter 3inverse spectral problems for differential operators with nonlinear dependence on the spectral parameter are studied | ||
| 546 | |a In English | ||
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Inverse problems (Differential equations) | |
| 650 | 4 | |a Spectral theory (Mathematics) | |
| 650 | 4 | |a Mappings (Mathematics) | |
| 650 | 0 | 7 | |a Inverse Spektraltheorie |0 (DE-588)4314037-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialoperator |0 (DE-588)4012251-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialoperator |0 (DE-588)4012251-7 |D s |
| 689 | 0 | 1 | |a Inverse Spektraltheorie |0 (DE-588)4314037-3 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9783110940961 |x Verlag |3 Volltext |
| 912 | |a ZDB-23-DGG |a ZDB-23-GMA |a ZDB-23-GBA | ||
| 940 | 1 | |q FKE_PDA_DGG | |
| 940 | 1 | |q FLA_PDA_DGG | |
| 940 | 1 | |q FHA_PDA_DGG | |
| 940 | 1 | |q UPA_PDA_DGG | |
| 940 | 1 | |q FAW_PDA_DGG | |
| 940 | 1 | |q FCO_PDA_DGG | |
| 940 | 1 | |q ZDB-23-GBA_2000/2014 | |
| 940 | 1 | |q ZDB-23-GMA_2000/2014 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027959371 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153280679378944 |
|---|---|
| any_adam_object | |
| author | Yurko, Vacheslav A. |
| author_facet | Yurko, Vacheslav A. |
| author_role | aut |
| author_sort | Yurko, Vacheslav A. |
| author_variant | v a y va vay |
| building | Verbundindex |
| bvnumber | BV042525032 |
| collection | ZDB-23-DGG ZDB-23-GMA ZDB-23-GBA |
| ctrlnum | (OCoLC)865508321 (DE-599)BVBBV042525032 |
| dewey-full | 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35 |
| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9783110940961 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03000nmm a2200577zcb4500</leader><controlfield tag="001">BV042525032</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150423s2002 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110940961</subfield><subfield code="9">978-3-11-094096-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789067643559</subfield><subfield code="c">Print</subfield><subfield code="9">978-90-6764-355-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783111826882</subfield><subfield code="c">Print+Online</subfield><subfield code="9">978-3-11-182688-2</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110940961</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)865508321</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042525032</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-859</subfield><subfield code="a">DE-860</subfield><subfield code="a">DE-Aug4</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-1046</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-1043</subfield><subfield code="a">DE-858</subfield><subfield code="a">DE-19</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.35</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Yurko, Vacheslav A.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Method of Spectral Mappings in the Inverse Problem Theory</subfield><subfield code="c">Vacheslav A. Yurko</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin/Boston</subfield><subfield code="b">De Gruyter</subfield><subfield code="c">[2002]</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (iii,303p.)</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Inverse and Ill-Posed Problems Series</subfield><subfield code="v">31</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Inverse problems of spectral analysis consist in recovering operators from their spectral characteristics. Such problems often appear in mathematics, mechanics, physics, electronics, geophysics, meteorology and other branches of natural science. This monographis devoted to inverse problems of spectral analysis for ordinary differential equations. Its aim ist topresent the main results on inverse spectral problems using the so-called method of spectral mappings, which is one of the main tools in inverse spectral theory. The book consists of three chapters: In Chapter1the method of spectral mappings ispresented in the simplest version for the Sturm-Liouville operator. In Chapter 2the inverse problem of recovering higher-order differential operators of the form, on the half-line and on a finite interval, is considered. In Chapter 3inverse spectral problems for differential operators with nonlinear dependence on the spectral parameter are studied</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inverse problems (Differential equations)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Spectral theory (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mappings (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Inverse Spektraltheorie</subfield><subfield code="0">(DE-588)4314037-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialoperator</subfield><subfield code="0">(DE-588)4012251-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialoperator</subfield><subfield code="0">(DE-588)4012251-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Inverse Spektraltheorie</subfield><subfield code="0">(DE-588)4314037-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9783110940961</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield><subfield code="a">ZDB-23-GMA</subfield><subfield code="a">ZDB-23-GBA</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FKE_PDA_DGG</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FLA_PDA_DGG</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FHA_PDA_DGG</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">UPA_PDA_DGG</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FAW_PDA_DGG</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FCO_PDA_DGG</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-23-GBA_2000/2014</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-23-GMA_2000/2014</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027959371</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></record></collection> |
| id | DE-604.BV042525032 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:24:06Z |
| institution | BVB |
| isbn | 9783110940961 9789067643559 9783111826882 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027959371 |
| oclc_num | 865508321 |
| open_access_boolean | |
| owner | DE-859 DE-860 DE-Aug4 DE-739 DE-1046 DE-706 DE-703 DE-1043 DE-858 DE-19 DE-BY-UBM |
| owner_facet | DE-859 DE-860 DE-Aug4 DE-739 DE-1046 DE-706 DE-703 DE-1043 DE-858 DE-19 DE-BY-UBM |
| physical | 1 Online-Ressource (iii,303p.) |
| psigel | ZDB-23-DGG ZDB-23-GMA ZDB-23-GBA FKE_PDA_DGG FLA_PDA_DGG FHA_PDA_DGG UPA_PDA_DGG FAW_PDA_DGG FCO_PDA_DGG ZDB-23-GBA_2000/2014 ZDB-23-GMA_2000/2014 |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | De Gruyter |
| record_format | marc |
| series2 | Inverse and Ill-Posed Problems Series |
| spelling | Yurko, Vacheslav A. Verfasser aut Method of Spectral Mappings in the Inverse Problem Theory Vacheslav A. Yurko Berlin/Boston De Gruyter [2002] 1 Online-Ressource (iii,303p.) txt rdacontent c rdamedia cr rdacarrier Inverse and Ill-Posed Problems Series 31 Inverse problems of spectral analysis consist in recovering operators from their spectral characteristics. Such problems often appear in mathematics, mechanics, physics, electronics, geophysics, meteorology and other branches of natural science. This monographis devoted to inverse problems of spectral analysis for ordinary differential equations. Its aim ist topresent the main results on inverse spectral problems using the so-called method of spectral mappings, which is one of the main tools in inverse spectral theory. The book consists of three chapters: In Chapter1the method of spectral mappings ispresented in the simplest version for the Sturm-Liouville operator. In Chapter 2the inverse problem of recovering higher-order differential operators of the form, on the half-line and on a finite interval, is considered. In Chapter 3inverse spectral problems for differential operators with nonlinear dependence on the spectral parameter are studied In English Mathematik Inverse problems (Differential equations) Spectral theory (Mathematics) Mappings (Mathematics) Inverse Spektraltheorie (DE-588)4314037-3 gnd rswk-swf Differentialoperator (DE-588)4012251-7 gnd rswk-swf Differentialoperator (DE-588)4012251-7 s Inverse Spektraltheorie (DE-588)4314037-3 s 1\p DE-604 https://doi.org/10.1515/9783110940961 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Yurko, Vacheslav A. Method of Spectral Mappings in the Inverse Problem Theory Mathematik Inverse problems (Differential equations) Spectral theory (Mathematics) Mappings (Mathematics) Inverse Spektraltheorie (DE-588)4314037-3 gnd Differentialoperator (DE-588)4012251-7 gnd |
| subject_GND | (DE-588)4314037-3 (DE-588)4012251-7 |
| title | Method of Spectral Mappings in the Inverse Problem Theory |
| title_auth | Method of Spectral Mappings in the Inverse Problem Theory |
| title_exact_search | Method of Spectral Mappings in the Inverse Problem Theory |
| title_full | Method of Spectral Mappings in the Inverse Problem Theory Vacheslav A. Yurko |
| title_fullStr | Method of Spectral Mappings in the Inverse Problem Theory Vacheslav A. Yurko |
| title_full_unstemmed | Method of Spectral Mappings in the Inverse Problem Theory Vacheslav A. Yurko |
| title_short | Method of Spectral Mappings in the Inverse Problem Theory |
| title_sort | method of spectral mappings in the inverse problem theory |
| topic | Mathematik Inverse problems (Differential equations) Spectral theory (Mathematics) Mappings (Mathematics) Inverse Spektraltheorie (DE-588)4314037-3 gnd Differentialoperator (DE-588)4012251-7 gnd |
| topic_facet | Mathematik Inverse problems (Differential equations) Spectral theory (Mathematics) Mappings (Mathematics) Inverse Spektraltheorie Differentialoperator |
| url | https://doi.org/10.1515/9783110940961 |
| work_keys_str_mv | AT yurkovacheslava methodofspectralmappingsintheinverseproblemtheory |