Uniqueness and nonuniqueness criteria for ordinary differential equations:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
1993
|
| Schriftenreihe: | Series in real analysis
6 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 312 S. |
| ISBN: | 9810213573 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV012738505 | ||
| 003 | DE-604 | ||
| 005 | 20021022 | ||
| 007 | t | ||
| 008 | 990831s1993 |||| 00||| eng d | ||
| 020 | |a 9810213573 |9 981-02-1357-3 | ||
| 035 | |a (OCoLC)28762629 | ||
| 035 | |a (DE-599)BVBBV012738505 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-11 | ||
| 050 | 0 | |a QA372 | |
| 082 | 0 | |a 515/.352 |2 20 | |
| 084 | |a SK 520 |0 (DE-625)143244: |2 rvk | ||
| 100 | 1 | |a Agarwal, Ravi P. |d 1947- |e Verfasser |0 (DE-588)112040187 |4 aut | |
| 245 | 1 | 0 | |a Uniqueness and nonuniqueness criteria for ordinary differential equations |c R. P. Agarwal ; V. Lakshmikantham |
| 264 | 1 | |a Singapore [u.a.] |b World Scientific |c 1993 | |
| 300 | |a X, 312 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Series in real analysis |v 6 | |
| 650 | 7 | |a Équations différentielles |2 ram | |
| 650 | 4 | |a Differential equations | |
| 650 | 0 | 7 | |a Gewöhnliche Differentialgleichung |0 (DE-588)4020929-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Eindeutigkeit |0 (DE-588)4151249-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Gewöhnliche Differentialgleichung |0 (DE-588)4020929-5 |D s |
| 689 | 0 | 1 | |a Eindeutigkeit |0 (DE-588)4151249-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Lakshmikantham, Vangipuram |d 1926- |e Verfasser |0 (DE-588)104268050 |4 aut | |
| 830 | 0 | |a Series in real analysis |v 6 |w (DE-604)BV001898092 |9 6 | |
| 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=008661933&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-008661933 | ||
Datensatz im Suchindex
| _version_ | 1804127405901611008 |
|---|---|
| adam_text | CONTENTS
Preface
CHAPTER 1
FIRST ORDER DIFFERENTIAL EQUATIONS
1.1 Introduction 1
1.2 Lipschitz uniqueness theorem 2
1.3 Peano s uniqueness theorem 10
1.4 Osgood s uniqueness theorem 12
1.5 Montel Tonelli s uniqueness theorem 19
1.6 Nagumo s uniqueness theorem 19
1.7 Krasnosel skii Krein s uniqueness theorem 26
1.8 Kooi s uniqueness theorem 30
1.9 Roger s uniqueness theorem 33
1.10 Witte s uniqueness theorem 37
1.11 Perron s uniqueness theorem 41
1.12 Gyori s uniqueness theorem 43
1.13 Iyanaga s uniqueness theorem 51
1.14 Inaba s uniqueness theorem 53
1.15 Kamke s uniqueness theorem 56
1.16 Shen s uniqueness theorem 63
1.17 Mikolaj ska s uniqueness theorem 66
1.18 Brauer s uniqueness theorem 74
1.19 Wend s uniqueness theorem 77
1.20 van Kampen s uniqueness theorem 78
1.21 Yosie s uniqueness theorem 81
1.22 Kitagawa s uniqueness theorem 92
1.23 Tamarkine s nonuniqueness theorem 98
1.24 Lakshmikantham s nonuniqueness theorem 99
1.25 Samimi s nonuniqueness theorem 101
vii
viii CONTENTS
CHAPTER 2
FIRST ORDER DIFFERENTIAL EQUATIONS (CONTD.)
2.1 Introduction 102
2.2 Lipschitz uniqueness theorem 103
2.3 Nagumo s uniqueness theorem 106
2.4 Krasnosel skii Krein s uniqueness theorem 106
2.5 Boruvka s uniqueness theorem 109
2.6 Wend s uniqueness theorem 110
2.7 Zabreiko s uniqueness theorem 113
2.8 Lakshmikantham s uniqueness theorem 119
2.9 Bownds uniqueness theorem 121
2.10 Bownds Metcalf s uniqueness theorem 125
2.11 Gard s uniqueness theorem 127
2.12 Majorana s nonuniqueness theorem 130
CHAPTER 3
FIRST ORDER DIFFERENTIAL SYSTEMS
3.1 Introduction 134
3.2 Lipschitz uniqueness theorem 136
3.3 Peano s uniqueness theorem 139
3.4 Heins uniqueness theorem 140
3.5 Giuliano s uniqueness theorem 143
3.6 Nagumo s uniqueness theorem 143
3.7 Witte s uniqueness theorem 144
3.8 Kamke s uniqueness theorem 144
3.9 Wend s uniqueness theorem 145
3.10 Bownds uniqueness theorem 146
3.11 Gard s uniqueness theorem 150
3.12 Driver Norris uniqueness theorem 151
3.13 Goebel Zur s uniqueness theorem 154
3.14 Bownds Diaz s uniqueness theorem 157
3.15 Okamura s uniqueness theorem 159
3.16 Chu Diaz s uniqueness theorem 167
3.17 Sato s uniqueness theorem 168
3.18 Brauer Steinberg s uniqueness theorem 172
3.19 Moyer s uniqueness theorem 174
3.20 Bernfeld Driver Lakshmikantham s uniqueness theorem 179
CONTENTS ix
3.21 Kaper Kwong s uniqueness theorem 183
3.22 Tesarova Dosly s uniqueness theorem 187
3.23 Antosiewicz s uniqueness theorem 191
3.24 Lakshmikantham Samimi s uniqueness theorem 193
3.25 Kalas nonuniqueness theorem 197
3.26 Samimi s nonuniqueness theorem 201
CHAPTER 4
HIGHER ORDER DIFFERENTIAL EQUATIONS
4.1 Introduction 204
4.2 Lipschitz uniqueness theorem 206
4.3 Merli s uniqueness theorem 209
4.4 Kikodze s uniqueness theorem 211
4.5 Wend s uniqueness theorem 216
4.6 Redheffer s uniqueness theorem 219
4.7 Heidel s uniqueness theorem 222
CHAPTER 5
DIFFERENTIAL EQUATIONS IN ABSTRACT SPACES
5.1 Introduction 225
5.2 Aziz Diaz s uniqueness theorem 227
5.3 Medeiros uniqueness theorem 229
5.4 Diaz Weinacht s uniqueness theorem 231
5.5 Perron s uniqueness theorem 235
5.6 Olech s uniqueness theorem 235
5.7 Goldstein s uniqueness theorem 235
5.8 Arrate s uniqueness theorem 237
5.9 Ramankutty s uniqueness theorem 240
5.10 Murakami s uniqueness theorem 243
5.11 Lakshmikantham s uniqueness theorem 246
CHAPTER 6
COMPLEX DIFFERENTIAL EQUATIONS
6.1 Introduction 248
6.2 Deo Lakshmikantham s uniqueness theorem 249
x CONTENTS
CHAPTER 7
FUNCTIONAL DIFFERENTIAL EQUATIONS
7.1 Introduction 251
7.2 Lakshmikantham s uniqueness theorem 252
7.3 Lakshmikantham Leela s uniqueness theorem 254
7.4 Lakshmikantham Shendge s uniqueness theorem 254
7.5 Furumochi s uniqueness theorem 255
CHAPTER 8
IMPULSIVE DIFFERENTIAL EQUATIONS
8.1 Introduction 263
8.2 Hu Lakshmikantham s uniqueness theorem 265
8.3 Pandit s uniqueness theorem 266
CHAPTER 9
DIFFERENTIAL EQUATIONS WITH HYSTERESIS
9.1 Introduction 272
9.2 Borzdyko s uniqueness theorem 1 273
9.3 Borzdyko s uniqueness theorem 2 275
9.4 Borzdyko s uniqueness theorem 3 277
9.5 Borzdyko s uniqueness theorem 4 280
CHAPTER 10
GENERALIZED DIFFERENTIAL EQUATIONS
10.1 Introduction 282
10.2 Schwabik s uniqueness theorem 286
NOTES 295
REFERENCES 300
|
| any_adam_object | 1 |
| author | Agarwal, Ravi P. 1947- Lakshmikantham, Vangipuram 1926- |
| author_GND | (DE-588)112040187 (DE-588)104268050 |
| author_facet | Agarwal, Ravi P. 1947- Lakshmikantham, Vangipuram 1926- |
| author_role | aut aut |
| author_sort | Agarwal, Ravi P. 1947- |
| author_variant | r p a rp rpa v l vl |
| building | Verbundindex |
| bvnumber | BV012738505 |
| callnumber-first | Q - Science |
| callnumber-label | QA372 |
| callnumber-raw | QA372 |
| callnumber-search | QA372 |
| callnumber-sort | QA 3372 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 520 |
| ctrlnum | (OCoLC)28762629 (DE-599)BVBBV012738505 |
| dewey-full | 515/.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.352 |
| dewey-search | 515/.352 |
| dewey-sort | 3515 3352 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01711nam a2200421 cb4500</leader><controlfield tag="001">BV012738505</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20021022 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">990831s1993 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9810213573</subfield><subfield code="9">981-02-1357-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)28762629</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV012738505</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA372</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.352</subfield><subfield code="2">20</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">Agarwal, Ravi P.</subfield><subfield code="d">1947-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)112040187</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Uniqueness and nonuniqueness criteria for ordinary differential equations</subfield><subfield code="c">R. P. Agarwal ; V. Lakshmikantham</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore [u.a.]</subfield><subfield code="b">World Scientific</subfield><subfield code="c">1993</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 312 S.</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">Series in real analysis</subfield><subfield code="v">6</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Équations différentielles</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations</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">Eindeutigkeit</subfield><subfield code="0">(DE-588)4151249-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Gewöhnliche Differentialgleichung</subfield><subfield code="0">(DE-588)4020929-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Eindeutigkeit</subfield><subfield code="0">(DE-588)4151249-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lakshmikantham, Vangipuram</subfield><subfield code="d">1926-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)104268050</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Series in real analysis</subfield><subfield code="v">6</subfield><subfield code="w">(DE-604)BV001898092</subfield><subfield code="9">6</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=008661933&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:BVB01-008661933</subfield></datafield></record></collection> |
| id | DE-604.BV012738505 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:32:50Z |
| institution | BVB |
| isbn | 9810213573 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008661933 |
| oclc_num | 28762629 |
| open_access_boolean | |
| owner | DE-703 DE-11 |
| owner_facet | DE-703 DE-11 |
| physical | X, 312 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | World Scientific |
| record_format | marc |
| series | Series in real analysis |
| series2 | Series in real analysis |
| spelling | Agarwal, Ravi P. 1947- Verfasser (DE-588)112040187 aut Uniqueness and nonuniqueness criteria for ordinary differential equations R. P. Agarwal ; V. Lakshmikantham Singapore [u.a.] World Scientific 1993 X, 312 S. txt rdacontent n rdamedia nc rdacarrier Series in real analysis 6 Équations différentielles ram Differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Eindeutigkeit (DE-588)4151249-2 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Eindeutigkeit (DE-588)4151249-2 s DE-604 Lakshmikantham, Vangipuram 1926- Verfasser (DE-588)104268050 aut Series in real analysis 6 (DE-604)BV001898092 6 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008661933&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Agarwal, Ravi P. 1947- Lakshmikantham, Vangipuram 1926- Uniqueness and nonuniqueness criteria for ordinary differential equations Series in real analysis Équations différentielles ram Differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Eindeutigkeit (DE-588)4151249-2 gnd |
| subject_GND | (DE-588)4020929-5 (DE-588)4151249-2 |
| title | Uniqueness and nonuniqueness criteria for ordinary differential equations |
| title_auth | Uniqueness and nonuniqueness criteria for ordinary differential equations |
| title_exact_search | Uniqueness and nonuniqueness criteria for ordinary differential equations |
| title_full | Uniqueness and nonuniqueness criteria for ordinary differential equations R. P. Agarwal ; V. Lakshmikantham |
| title_fullStr | Uniqueness and nonuniqueness criteria for ordinary differential equations R. P. Agarwal ; V. Lakshmikantham |
| title_full_unstemmed | Uniqueness and nonuniqueness criteria for ordinary differential equations R. P. Agarwal ; V. Lakshmikantham |
| title_short | Uniqueness and nonuniqueness criteria for ordinary differential equations |
| title_sort | uniqueness and nonuniqueness criteria for ordinary differential equations |
| topic | Équations différentielles ram Differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Eindeutigkeit (DE-588)4151249-2 gnd |
| topic_facet | Équations différentielles Differential equations Gewöhnliche Differentialgleichung Eindeutigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008661933&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001898092 |
| work_keys_str_mv | AT agarwalravip uniquenessandnonuniquenesscriteriaforordinarydifferentialequations AT lakshmikanthamvangipuram uniquenessandnonuniquenesscriteriaforordinarydifferentialequations |