Recent Developments in Sturm-Liouville Theory / / Anton Zettl.

This book provides a modern survey of some basic properties of Sturm-Liouville problems and to bring the reader to the forefront of knowledge of some areas of the theory. For example, some special Sturm-Liouville eigenvalue problems are equivalent to certain Jacobi and cyclic Jacobi matrix eigenvalu...

Full description

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Ebook Package English 2021
VerfasserIn:
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2021]
©2021
Year of Publication:2021
Language:English
Series:De Gruyter Studies in Mathematics , 76
Online Access:
Physical Description:1 online resource (XII, 250 p.)
Tags: Add Tag
No Tags, Be the first to tag this record!
id 9783110719000
ctrlnum (DE-B1597)567370
collection bib_alma
record_format marc
spelling Zettl, Anton, author. aut http://id.loc.gov/vocabulary/relators/aut
Recent Developments in Sturm-Liouville Theory / Anton Zettl.
Berlin ; Boston : De Gruyter, [2021]
©2021
1 online resource (XII, 250 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Studies in Mathematics , 0179-0986 ; 76
Frontmatter -- Introduction -- Contents -- Part I: One-interval problems -- 1 Classical regular self-adjoint problems -- 2 Periodic coefficients -- 3 Extensions of the classical problem -- 4 Finite spectrum -- 5 Inverse Sturm–Liouville problems with finite spectrum -- 6 Eigenvalues below the essential spectrum -- 7 Spectral parameter in the boundary conditions -- Part II: Two-interval problems -- 8 Discontinuous boundary conditions -- 9 The Green’s and characteristic functions -- 10 The Legendre equation and its operators -- A Notation -- B Open problems -- Bibliography -- Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
This book provides a modern survey of some basic properties of Sturm-Liouville problems and to bring the reader to the forefront of knowledge of some areas of the theory. For example, some special Sturm-Liouville eigenvalue problems are equivalent to certain Jacobi and cyclic Jacobi matrix eigenvalue problems. A new approach to problems with periodic conditions is developed.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)
MATHEMATICS / Differential Equations / General. bisacsh
Title is part of eBook package: De Gruyter DG Ebook Package English 2021 9783110750720
Title is part of eBook package: De Gruyter DG Plus DeG Package 2021 Part 1 9783110750706
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English 9783110754001
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 9783110753776 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 English 9783110754131
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 9783110753905 ZDB-23-DMA
EPUB 9783110719383
print 9783110718843
https://doi.org/10.1515/9783110719000
https://www.degruyter.com/isbn/9783110719000
Cover https://www.degruyter.com/document/cover/isbn/9783110719000/original
language English
format eBook
author Zettl, Anton,
Zettl, Anton,
spellingShingle Zettl, Anton,
Zettl, Anton,
Recent Developments in Sturm-Liouville Theory /
De Gruyter Studies in Mathematics ,
Frontmatter --
Introduction --
Contents --
Part I: One-interval problems --
1 Classical regular self-adjoint problems --
2 Periodic coefficients --
3 Extensions of the classical problem --
4 Finite spectrum --
5 Inverse Sturm–Liouville problems with finite spectrum --
6 Eigenvalues below the essential spectrum --
7 Spectral parameter in the boundary conditions --
Part II: Two-interval problems --
8 Discontinuous boundary conditions --
9 The Green’s and characteristic functions --
10 The Legendre equation and its operators --
A Notation --
B Open problems --
Bibliography --
Index
author_facet Zettl, Anton,
Zettl, Anton,
author_variant a z az
a z az
author_role VerfasserIn
VerfasserIn
author_sort Zettl, Anton,
title Recent Developments in Sturm-Liouville Theory /
title_full Recent Developments in Sturm-Liouville Theory / Anton Zettl.
title_fullStr Recent Developments in Sturm-Liouville Theory / Anton Zettl.
title_full_unstemmed Recent Developments in Sturm-Liouville Theory / Anton Zettl.
title_auth Recent Developments in Sturm-Liouville Theory /
title_alt Frontmatter --
Introduction --
Contents --
Part I: One-interval problems --
1 Classical regular self-adjoint problems --
2 Periodic coefficients --
3 Extensions of the classical problem --
4 Finite spectrum --
5 Inverse Sturm–Liouville problems with finite spectrum --
6 Eigenvalues below the essential spectrum --
7 Spectral parameter in the boundary conditions --
Part II: Two-interval problems --
8 Discontinuous boundary conditions --
9 The Green’s and characteristic functions --
10 The Legendre equation and its operators --
A Notation --
B Open problems --
Bibliography --
Index
title_new Recent Developments in Sturm-Liouville Theory /
title_sort recent developments in sturm-liouville theory /
series De Gruyter Studies in Mathematics ,
series2 De Gruyter Studies in Mathematics ,
publisher De Gruyter,
publishDate 2021
physical 1 online resource (XII, 250 p.)
Issued also in print.
contents Frontmatter --
Introduction --
Contents --
Part I: One-interval problems --
1 Classical regular self-adjoint problems --
2 Periodic coefficients --
3 Extensions of the classical problem --
4 Finite spectrum --
5 Inverse Sturm–Liouville problems with finite spectrum --
6 Eigenvalues below the essential spectrum --
7 Spectral parameter in the boundary conditions --
Part II: Two-interval problems --
8 Discontinuous boundary conditions --
9 The Green’s and characteristic functions --
10 The Legendre equation and its operators --
A Notation --
B Open problems --
Bibliography --
Index
isbn 9783110719000
9783110750720
9783110750706
9783110754001
9783110753776
9783110754131
9783110753905
9783110719383
9783110718843
issn 0179-0986 ;
url https://doi.org/10.1515/9783110719000
https://www.degruyter.com/isbn/9783110719000
https://www.degruyter.com/document/cover/isbn/9783110719000/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515.35
dewey-sort 3515.35
dewey-raw 515.35
dewey-search 515.35
doi_str_mv 10.1515/9783110719000
work_keys_str_mv AT zettlanton recentdevelopmentsinsturmliouvilletheory
status_str n
ids_txt_mv (DE-B1597)567370
carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DG Ebook Package English 2021
Title is part of eBook package: De Gruyter DG Plus DeG Package 2021 Part 1
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021
is_hierarchy_title Recent Developments in Sturm-Liouville Theory /
container_title Title is part of eBook package: De Gruyter DG Ebook Package English 2021
_version_ 1806144538781155328
fullrecord <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04125nam a22007575i 4500</leader><controlfield tag="001">9783110719000</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20230228015514.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">230228t20212021gw fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110719000</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110719000</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)567370</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT007000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">515.35</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zettl, Anton, </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Recent Developments in Sturm-Liouville Theory /</subfield><subfield code="c">Anton Zettl.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston : </subfield><subfield code="b">De Gruyter, </subfield><subfield code="c">[2021]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2021</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (XII, 250 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">De Gruyter Studies in Mathematics ,</subfield><subfield code="x">0179-0986 ;</subfield><subfield code="v">76</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Introduction -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Part I: One-interval problems -- </subfield><subfield code="t">1 Classical regular self-adjoint problems -- </subfield><subfield code="t">2 Periodic coefficients -- </subfield><subfield code="t">3 Extensions of the classical problem -- </subfield><subfield code="t">4 Finite spectrum -- </subfield><subfield code="t">5 Inverse Sturm–Liouville problems with finite spectrum -- </subfield><subfield code="t">6 Eigenvalues below the essential spectrum -- </subfield><subfield code="t">7 Spectral parameter in the boundary conditions -- </subfield><subfield code="t">Part II: Two-interval problems -- </subfield><subfield code="t">8 Discontinuous boundary conditions -- </subfield><subfield code="t">9 The Green’s and characteristic functions -- </subfield><subfield code="t">10 The Legendre equation and its operators -- </subfield><subfield code="t">A Notation -- </subfield><subfield code="t">B Open problems -- </subfield><subfield code="t">Bibliography -- </subfield><subfield code="t">Index</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book provides a modern survey of some basic properties of Sturm-Liouville problems and to bring the reader to the forefront of knowledge of some areas of the theory. For example, some special Sturm-Liouville eigenvalue problems are equivalent to certain Jacobi and cyclic Jacobi matrix eigenvalue problems. A new approach to problems with periodic conditions is developed.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Differential Equations / General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DG Ebook Package English 2021</subfield><subfield code="z">9783110750720</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DG Plus DeG Package 2021 Part 1</subfield><subfield code="z">9783110750706</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">EBOOK PACKAGE COMPLETE 2021 English</subfield><subfield code="z">9783110754001</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">EBOOK PACKAGE COMPLETE 2021</subfield><subfield code="z">9783110753776</subfield><subfield code="o">ZDB-23-DGG</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">EBOOK PACKAGE Mathematics 2021 English</subfield><subfield code="z">9783110754131</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">EBOOK PACKAGE Mathematics 2021</subfield><subfield code="z">9783110753905</subfield><subfield code="o">ZDB-23-DMA</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">EPUB</subfield><subfield code="z">9783110719383</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9783110718843</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9783110719000</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9783110719000</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9783110719000/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-075070-6 DG Plus DeG Package 2021 Part 1</subfield><subfield code="b">2021</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-075072-0 DG Ebook Package English 2021</subfield><subfield code="b">2021</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-075400-1 EBOOK PACKAGE COMPLETE 2021 English</subfield><subfield code="b">2021</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-075413-1 EBOOK PACKAGE Mathematics 2021 English</subfield><subfield code="b">2021</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_DGALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ECL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield><subfield code="b">2021</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DMA</subfield><subfield code="b">2021</subfield></datafield></record></collection>