Ordinary differential equations and boundary value problems: Volume 1 Advanced ordinary differential equations
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New Jersey
World Scientific
[2018]
|
| Series: | Trends in abstract and applied analysis
volume 7 |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | x, 166 Seiten Diagramme |
| ISBN: | 9789813236455 |
Staff View
MARC
| LEADER | 00000nam a2200000 cc4500 | ||
|---|---|---|---|
| 001 | BV044931534 | ||
| 003 | DE-604 | ||
| 005 | 20190121 | ||
| 007 | t | ||
| 008 | 180507s2018 |||| |||| 00||| eng d | ||
| 020 | |a 9789813236455 |c hbk |9 978-981-3236-45-5 | ||
| 035 | |a (OCoLC)1023025053 | ||
| 035 | |a (DE-599)BVBBV044931534 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-739 |a DE-703 |a DE-11 |a DE-91G | ||
| 084 | |a SK 500 |0 (DE-625)143243: |2 rvk | ||
| 084 | |a SK 520 |0 (DE-625)143244: |2 rvk | ||
| 100 | 1 | |a Graef, John R. |d 1942- |e Verfasser |0 (DE-588)140965459 |4 aut | |
| 245 | 1 | 0 | |a Ordinary differential equations and boundary value problems |n Volume 1 |p Advanced ordinary differential equations |c John R. Graef, Johnny Henderson, Lingju Kong, Xueyan Sherry Liu |
| 264 | 1 | |a New Jersey |b World Scientific |c [2018] | |
| 300 | |a x, 166 Seiten |b Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Trends in abstract and applied analysis |v volume 7 | |
| 490 | 0 | |a Trends in abstract and applied analysis | |
| 700 | 1 | |a Henderson, Johnny |e Verfasser |0 (DE-588)170788350 |4 aut | |
| 700 | 1 | |a Kong, Lingju |e Verfasser |0 (DE-588)1080395563 |4 aut | |
| 773 | 0 | 8 | |w (DE-604)BV044931532 |g 1 |
| 830 | 0 | |a Trends in abstract and applied analysis |v volume 7 |w (DE-604)BV043530503 |9 7 | |
| 856 | 4 | 2 | |m Digitalisierung UB Passau - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030324591&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-030324591 | ||
Record in the Search Index
| _version_ | 1804178508131336192 |
|---|---|
| adam_text | Contents
Preface vii
1. Systems of Differential Equations 1
1.1 Introduction................................................. 1
1.2 The Initial Value Problem (IVP).............................. 2
1.3 The Picard Existence Theorem............................. 4
1.4 The Peano Existence Theorem ................................ 18
2. Continuation of Solutions and Maximal Intervals
of Existence 29
2.1 Continuation of Solutions................................... 29
2.2 Kamke Convergence Theorem................................... 37
2.3 Continuous Dependence of Solutions on Initial
Conditions................................................. 42
2.4 Continuity of Solutions wrt Parameters...................... 45
3. Smooth Dependence on Initial Conditions and Smooth
Dependence on Parameters 51
3.1 Differentiation of Solutions wrt Initial Conditions ..... 51
3.2 Differentiation of Solutions wrt Parameters................. 55
3.3 Maximal Solutions and Minimal Solutions..................... 61
4. Some Comparison Theorems and Differential Inequalities 65
4.1 Comparison Theorems and Differential Inequalities .... 65
4.2 Kamke Uniqueness Theorem............................. 73
5. Linear Systems of Differential Equations 77
5.1 Linear Systems of Differential Equations.................... 77
ix
x Volume 1: Advanced Ordinary Differential Equations
5.2 Some Properties of Matrices............................ 82
5.3 Infinite Series of Matrices and Matrix-Valued
Functions............................................... 85
5.4 Linear Matrix System............................ 88
5.5 Higher Order Differential Equations .................... 96
5.6 Systems of Equations with Constant Coefficient
Matrices............................................... 103
5.7 The Logarithm of a Matrix............................... 116
6. Periodic Linear Systems and Floquet Theory 121
6.1 Periodic Homogeneous Linear Systems
and Floquet Theory .......................................121
6.2 Periodic Nonhomogeneous Linear Systems
and Floquet Theory..................................... 126
7. Stability Theory 135
7.1 Stability of First Order Systems..........................135
7.2 Stability of Vector Linear Systems ...................... 140
8. Perturbed Systems and More on Existence
of Periodic Solutions 149
8.1 Perturbed Linear Systems 149
Bibliography 163
Index 165
|
| any_adam_object | 1 |
| author | Graef, John R. 1942- Henderson, Johnny Kong, Lingju |
| author_GND | (DE-588)140965459 (DE-588)170788350 (DE-588)1080395563 |
| author_facet | Graef, John R. 1942- Henderson, Johnny Kong, Lingju |
| author_role | aut aut aut |
| author_sort | Graef, John R. 1942- |
| author_variant | j r g jr jrg j h jh l k lk |
| building | Verbundindex |
| bvnumber | BV044931534 |
| classification_rvk | SK 500 SK 520 |
| ctrlnum | (OCoLC)1023025053 (DE-599)BVBBV044931534 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01658nam a2200361 cc4500</leader><controlfield tag="001">BV044931534</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20190121 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">180507s2018 |||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789813236455</subfield><subfield code="c">hbk</subfield><subfield code="9">978-981-3236-45-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1023025053</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044931534</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-384</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-91G</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 500</subfield><subfield code="0">(DE-625)143243:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 520</subfield><subfield code="0">(DE-625)143244:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Graef, John R.</subfield><subfield code="d">1942-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)140965459</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Ordinary differential equations and boundary value problems</subfield><subfield code="n">Volume 1</subfield><subfield code="p">Advanced ordinary differential equations</subfield><subfield code="c">John R. Graef, Johnny Henderson, Lingju Kong, Xueyan Sherry Liu</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New Jersey</subfield><subfield code="b">World Scientific</subfield><subfield code="c">[2018]</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">x, 166 Seiten</subfield><subfield code="b">Diagramme</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">Trends in abstract and applied analysis</subfield><subfield code="v">volume 7</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Trends in abstract and applied analysis</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Henderson, Johnny</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)170788350</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kong, Lingju</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1080395563</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="w">(DE-604)BV044931532</subfield><subfield code="g">1</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Trends in abstract and applied analysis</subfield><subfield code="v">volume 7</subfield><subfield code="w">(DE-604)BV043530503</subfield><subfield code="9">7</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Passau - ADAM Catalogue Enrichment</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=030324591&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030324591</subfield></datafield></record></collection> |
| id | DE-604.BV044931534 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:05:05Z |
| institution | BVB |
| isbn | 9789813236455 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030324591 |
| oclc_num | 1023025053 |
| open_access_boolean | |
| owner | DE-384 DE-739 DE-703 DE-11 DE-91G DE-BY-TUM |
| owner_facet | DE-384 DE-739 DE-703 DE-11 DE-91G DE-BY-TUM |
| physical | x, 166 Seiten Diagramme |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | World Scientific |
| record_format | marc |
| series | Trends in abstract and applied analysis |
| series2 | Trends in abstract and applied analysis |
| spelling | Graef, John R. 1942- Verfasser (DE-588)140965459 aut Ordinary differential equations and boundary value problems Volume 1 Advanced ordinary differential equations John R. Graef, Johnny Henderson, Lingju Kong, Xueyan Sherry Liu New Jersey World Scientific [2018] x, 166 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Trends in abstract and applied analysis volume 7 Trends in abstract and applied analysis Henderson, Johnny Verfasser (DE-588)170788350 aut Kong, Lingju Verfasser (DE-588)1080395563 aut (DE-604)BV044931532 1 Trends in abstract and applied analysis volume 7 (DE-604)BV043530503 7 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030324591&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Graef, John R. 1942- Henderson, Johnny Kong, Lingju Ordinary differential equations and boundary value problems Trends in abstract and applied analysis |
| title | Ordinary differential equations and boundary value problems |
| title_auth | Ordinary differential equations and boundary value problems |
| title_exact_search | Ordinary differential equations and boundary value problems |
| title_full | Ordinary differential equations and boundary value problems Volume 1 Advanced ordinary differential equations John R. Graef, Johnny Henderson, Lingju Kong, Xueyan Sherry Liu |
| title_fullStr | Ordinary differential equations and boundary value problems Volume 1 Advanced ordinary differential equations John R. Graef, Johnny Henderson, Lingju Kong, Xueyan Sherry Liu |
| title_full_unstemmed | Ordinary differential equations and boundary value problems Volume 1 Advanced ordinary differential equations John R. Graef, Johnny Henderson, Lingju Kong, Xueyan Sherry Liu |
| title_short | Ordinary differential equations and boundary value problems |
| title_sort | ordinary differential equations and boundary value problems advanced ordinary differential equations |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030324591&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV044931532 (DE-604)BV043530503 |
| work_keys_str_mv | AT graefjohnr ordinarydifferentialequationsandboundaryvalueproblemsvolume1 AT hendersonjohnny ordinarydifferentialequationsandboundaryvalueproblemsvolume1 AT konglingju ordinarydifferentialequationsandboundaryvalueproblemsvolume1 |