Volterra integral equations: an introduction to theory and applications
This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations (VIEs), ranging from Volterra's fundamental contributions and the resulting classical theory to more recent developments that include Volterra functional integral equations with vario...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2017
|
| Schriftenreihe: | Cambridge monographs on applied and computational mathematics
30 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations (VIEs), ranging from Volterra's fundamental contributions and the resulting classical theory to more recent developments that include Volterra functional integral equations with various kinds of delays, VIEs with highly oscillatory kernels, and VIEs with non-compact operators. It will act as a 'stepping stone' to the literature on the advanced theory of VIEs, bringing the reader to the current state of the art in the theory. Each chapter contains a large number of exercises, extending from routine problems illustrating or complementing the theory to challenging open research problems. The increasingly important role of VIEs in the mathematical modelling of phenomena where memory effects play a key role is illustrated with some 30 concrete examples, and the notes at the end of each chapter feature complementary references as a guide to further reading |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 28 Feb 2017) |
| Beschreibung: | 1 online resource (xvi, 387 pages) |
| ISBN: | 9781316162491 |
| DOI: | 10.1017/9781316162491 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV044243511 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 170327s2017 |||| o||u| ||||||eng d | ||
| 020 | |a 9781316162491 |9 978-1-316-16249-1 | ||
| 024 | 7 | |a 10.1017/9781316162491 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781316162491 | ||
| 035 | |a (OCoLC)992556850 | ||
| 035 | |a (DE-599)BVBBV044243511 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 | ||
| 082 | 0 | |a 515/.45 | |
| 084 | |a SK 640 |0 (DE-625)143250: |2 rvk | ||
| 084 | |a SK 920 |0 (DE-625)143272: |2 rvk | ||
| 100 | 1 | |a Brunner, H. (Hermann) |d 1941- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Volterra integral equations |b an introduction to theory and applications |c Hermann Brunner |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2017 | |
| 300 | |a 1 online resource (xvi, 387 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Cambridge monographs on applied and computational mathematics |v 30 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 28 Feb 2017) | ||
| 520 | |a This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations (VIEs), ranging from Volterra's fundamental contributions and the resulting classical theory to more recent developments that include Volterra functional integral equations with various kinds of delays, VIEs with highly oscillatory kernels, and VIEs with non-compact operators. It will act as a 'stepping stone' to the literature on the advanced theory of VIEs, bringing the reader to the current state of the art in the theory. Each chapter contains a large number of exercises, extending from routine problems illustrating or complementing the theory to challenging open research problems. The increasingly important role of VIEs in the mathematical modelling of phenomena where memory effects play a key role is illustrated with some 30 concrete examples, and the notes at the end of each chapter feature complementary references as a guide to further reading | ||
| 650 | 4 | |a Integral equations | |
| 650 | 4 | |a Volterra equations / Numerical solutions | |
| 650 | 4 | |a Functional analysis | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe, hardback |z 978-1-107-09872-5 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/9781316162491 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029648788 | ||
| 966 | e | |u https://doi.org/10.1017/9781316162491 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781316162491 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804177406489001984 |
|---|---|
| any_adam_object | |
| author | Brunner, H. (Hermann) 1941- |
| author_facet | Brunner, H. (Hermann) 1941- |
| author_role | aut |
| author_sort | Brunner, H. (Hermann) 1941- |
| author_variant | h h b hh hhb |
| building | Verbundindex |
| bvnumber | BV044243511 |
| classification_rvk | SK 640 SK 920 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781316162491 (OCoLC)992556850 (DE-599)BVBBV044243511 |
| dewey-full | 515/.45 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.45 |
| dewey-search | 515/.45 |
| dewey-sort | 3515 245 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/9781316162491 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02705nmm a2200445zcb4500</leader><controlfield tag="001">BV044243511</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">170327s2017 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781316162491</subfield><subfield code="9">978-1-316-16249-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/9781316162491</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781316162491</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)992556850</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044243511</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-12</subfield><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.45</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 640</subfield><subfield code="0">(DE-625)143250:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 920</subfield><subfield code="0">(DE-625)143272:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Brunner, H. (Hermann)</subfield><subfield code="d">1941-</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Volterra integral equations</subfield><subfield code="b">an introduction to theory and applications</subfield><subfield code="c">Hermann Brunner</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2017</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xvi, 387 pages)</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">Cambridge monographs on applied and computational mathematics</subfield><subfield code="v">30</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 28 Feb 2017)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations (VIEs), ranging from Volterra's fundamental contributions and the resulting classical theory to more recent developments that include Volterra functional integral equations with various kinds of delays, VIEs with highly oscillatory kernels, and VIEs with non-compact operators. It will act as a 'stepping stone' to the literature on the advanced theory of VIEs, bringing the reader to the current state of the art in the theory. Each chapter contains a large number of exercises, extending from routine problems illustrating or complementing the theory to challenging open research problems. The increasingly important role of VIEs in the mathematical modelling of phenomena where memory effects play a key role is illustrated with some 30 concrete examples, and the notes at the end of each chapter feature complementary references as a guide to further reading</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Integral equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Volterra equations / Numerical solutions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional analysis</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe, hardback</subfield><subfield code="z">978-1-107-09872-5</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/9781316162491</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029648788</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781316162491</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781316162491</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV044243511 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:47:34Z |
| institution | BVB |
| isbn | 9781316162491 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029648788 |
| oclc_num | 992556850 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xvi, 387 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge monographs on applied and computational mathematics |
| spelling | Brunner, H. (Hermann) 1941- Verfasser aut Volterra integral equations an introduction to theory and applications Hermann Brunner Cambridge Cambridge University Press 2017 1 online resource (xvi, 387 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge monographs on applied and computational mathematics 30 Title from publisher's bibliographic system (viewed on 28 Feb 2017) This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations (VIEs), ranging from Volterra's fundamental contributions and the resulting classical theory to more recent developments that include Volterra functional integral equations with various kinds of delays, VIEs with highly oscillatory kernels, and VIEs with non-compact operators. It will act as a 'stepping stone' to the literature on the advanced theory of VIEs, bringing the reader to the current state of the art in the theory. Each chapter contains a large number of exercises, extending from routine problems illustrating or complementing the theory to challenging open research problems. The increasingly important role of VIEs in the mathematical modelling of phenomena where memory effects play a key role is illustrated with some 30 concrete examples, and the notes at the end of each chapter feature complementary references as a guide to further reading Integral equations Volterra equations / Numerical solutions Functional analysis Erscheint auch als Druck-Ausgabe, hardback 978-1-107-09872-5 https://doi.org/10.1017/9781316162491 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Brunner, H. (Hermann) 1941- Volterra integral equations an introduction to theory and applications Integral equations Volterra equations / Numerical solutions Functional analysis |
| title | Volterra integral equations an introduction to theory and applications |
| title_auth | Volterra integral equations an introduction to theory and applications |
| title_exact_search | Volterra integral equations an introduction to theory and applications |
| title_full | Volterra integral equations an introduction to theory and applications Hermann Brunner |
| title_fullStr | Volterra integral equations an introduction to theory and applications Hermann Brunner |
| title_full_unstemmed | Volterra integral equations an introduction to theory and applications Hermann Brunner |
| title_short | Volterra integral equations |
| title_sort | volterra integral equations an introduction to theory and applications |
| title_sub | an introduction to theory and applications |
| topic | Integral equations Volterra equations / Numerical solutions Functional analysis |
| topic_facet | Integral equations Volterra equations / Numerical solutions Functional analysis |
| url | https://doi.org/10.1017/9781316162491 |
| work_keys_str_mv | AT brunnerhhermann volterraintegralequationsanintroductiontotheoryandapplications |