Oscillation theory for functional differential equations:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Dekker
1995
|
| Schriftenreihe: | Pure and applied mathematics
190 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VII, 482 S. |
| ISBN: | 0824795989 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV010222114 | ||
| 003 | DE-604 | ||
| 005 | 20000215 | ||
| 007 | t | ||
| 008 | 950614s1995 |||| 00||| eng d | ||
| 020 | |a 0824795989 |9 0-8247-9598-9 | ||
| 035 | |a (OCoLC)31291044 | ||
| 035 | |a (DE-599)BVBBV010222114 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-12 |a DE-703 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA372 | |
| 082 | 0 | |a 515/.352 |2 20 | |
| 084 | |a SK 520 |0 (DE-625)143244: |2 rvk | ||
| 084 | |a SK 540 |0 (DE-625)143245: |2 rvk | ||
| 084 | |a SK 580 |0 (DE-625)143247: |2 rvk | ||
| 100 | 1 | |a Erbe, Lynn H. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Oscillation theory for functional differential equations |c L. H. Erbe ; Qingkai Kong ; B. G. Zhang |
| 264 | 1 | |a New York [u.a.] |b Dekker |c 1995 | |
| 300 | |a VII, 482 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pure and applied mathematics |v 190 | |
| 650 | 7 | |a Análise matemática |2 larpcal | |
| 650 | 7 | |a Equations différentielles fonctionnelles - Solutions numériques |2 ram | |
| 650 | 7 | |a Equações diferenciais funcionais |2 larpcal | |
| 650 | 7 | |a Oscillations |2 ram | |
| 650 | 4 | |a Functional differential equations |x Numerical solutions | |
| 650 | 4 | |a Oscillations | |
| 650 | 0 | 7 | |a Oszillatorisches Integral |0 (DE-588)4610930-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Funktional-Differentialgleichung |0 (DE-588)4155668-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Schwankung |0 (DE-588)4231024-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Funktional-Differentialgleichung |0 (DE-588)4155668-9 |D s |
| 689 | 0 | 1 | |a Schwankung |0 (DE-588)4231024-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Funktional-Differentialgleichung |0 (DE-588)4155668-9 |D s |
| 689 | 1 | 1 | |a Oszillatorisches Integral |0 (DE-588)4610930-4 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Kong, Qingkai |e Verfasser |4 aut | |
| 700 | 1 | |a Zhang, Binggen G. |e Verfasser |4 aut | |
| 830 | 0 | |a Pure and applied mathematics |v 190 |w (DE-604)BV000001885 |9 190 | |
| 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=006793528&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006793528 | ||
Datensatz im Suchindex
| _version_ | 1804124631714496512 |
|---|---|
| adam_text | Contents
Preface Hi
Chapter 1. Preliminaries 1
1.0. Introduction 1
1.1. Initial Value Problems 2
1.2. Oscillation and Nonoscillation 4
1.3. Formulation of Boundary Value Problems
for Functional Differential Equations 6
1.4 Fixed Point Theorems 8
Chapter 2. Oscillations of First Order Delay Differential
Equations 14
2.0. Introduction 14
2.1. Stable Type Equations with a Single Delay 15
2.2. The Distribution of Zeros of Oscillatory Solutions 31
2.3. Unstable Type Equations 37
2.4. Equations with Oscillatory Coefficients 40
2.5. Equations with Positive and Negative Coefficients 45
2.6. Equations with Several Delays 50
2.7. Equations with Forced Terms 71
2.8. Single Population Models with Delays 76
2.9. Notes 93
v
vi Contents
Chapter 3. Oscillation of First Order Neutral Differential
Equations 95
3.0. Introduction 95
3.1. Characteristic Equations 97
3.2. Equations with Variable Coefficients (I) 110
3.3. Equations with Variable Coefficients (II) 135
3.4. Comparison Results 156
3.5. Unstable Type Equations 160
3.6. Sublinear Equations 168
3.7. Equations with Mixed Coefficients 175
3.8. Linearized Oscillation 185
3.9. Equations with a Nonlinear Neutral Term 191
3.10. Forced Equations 197
3:11. Notes 200
Chapter 4. Oscillation and Nonoscillation of Second Order
Differential Equations with Deviating Arguments 202
4.0. Introduction 202
4.1. Linearized Oscillation 203
4.2. Existence of Oscillatory Solutions 210
4.3. Sturm Comparison Theorems 219
4.4. Oscillation Criteria 226
4.5. Classification of Nonoscillatory Solutions 242
4.6. Unstable Type Equations 255
4.7. Forced Oscillation 272
4.8. Equations with a Nonlinear Neutral Term 278
4.9. Advanced Type Equations 284
4.10. Notes 287
Chapter 5. Oscillation of Higher Order Neutral
Differential Equations 288
5.0. Introduction 288
5.1. Comparison Theorems for Odd Order Equations 289
5.2. Oscillation and Nonoscillation of Odd Order Equations 302
5.3. Oscillation of Even Order Equations 317
5.4. Classification of Nonoscillatory Solutions 324
5.5. Existence of Oscillatory Solutions 340
5.6. Equations with Nonlinear Neutral Terms 347
5.7. Unstable Type Equations 357
5.8. Notes 373
Contents vii
Chapter 6. Oscillation of Systems of Neutral
Differential Equations 374
6.0. Introduction and Preliminaries 374
6.1. Systems with Constant Matrix Coefficients 377
6.2. Systems with Variable Matrix Coefficients 389
6.3. Comparison with Scalar Equations 396
6.4. Existence of Nonoscillatory Solutions 400
6.5. Notes 413
Chapter 7. Boundary Value Problems for Second Order
Functional Differential Equations 414
7.0. Introduction 414
7.1. Lipschitz Type Conditions 415
7.2. Nagumo Type Condition 422
7.3. Leray Schauder Alternative 429
7.4. Topological Transversality Method 441
7.5. Boundary Value Problems for Singular Equations 452
7.6. Notes 464
References 465
Index 481
|
| any_adam_object | 1 |
| author | Erbe, Lynn H. Kong, Qingkai Zhang, Binggen G. |
| author_facet | Erbe, Lynn H. Kong, Qingkai Zhang, Binggen G. |
| author_role | aut aut aut |
| author_sort | Erbe, Lynn H. |
| author_variant | l h e lh lhe q k qk b g z bg bgz |
| building | Verbundindex |
| bvnumber | BV010222114 |
| 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 SK 540 SK 580 |
| ctrlnum | (OCoLC)31291044 (DE-599)BVBBV010222114 |
| 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>02266nam a2200553 cb4500</leader><controlfield tag="001">BV010222114</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20000215 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">950614s1995 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0824795989</subfield><subfield code="9">0-8247-9598-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)31291044</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010222114</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</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-12</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</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="084" ind1=" " ind2=" "><subfield code="a">SK 540</subfield><subfield code="0">(DE-625)143245:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 580</subfield><subfield code="0">(DE-625)143247:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Erbe, Lynn H.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Oscillation theory for functional differential equations</subfield><subfield code="c">L. H. Erbe ; Qingkai Kong ; B. G. Zhang</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Dekker</subfield><subfield code="c">1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VII, 482 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">Pure and applied mathematics</subfield><subfield code="v">190</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Análise matemática</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Equations différentielles fonctionnelles - Solutions numériques</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Equações diferenciais funcionais</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Oscillations</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional differential equations</subfield><subfield code="x">Numerical solutions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Oscillations</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Oszillatorisches Integral</subfield><subfield code="0">(DE-588)4610930-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktional-Differentialgleichung</subfield><subfield code="0">(DE-588)4155668-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Schwankung</subfield><subfield code="0">(DE-588)4231024-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Funktional-Differentialgleichung</subfield><subfield code="0">(DE-588)4155668-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Schwankung</subfield><subfield code="0">(DE-588)4231024-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Funktional-Differentialgleichung</subfield><subfield code="0">(DE-588)4155668-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Oszillatorisches Integral</subfield><subfield code="0">(DE-588)4610930-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kong, Qingkai</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zhang, Binggen G.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Pure and applied mathematics</subfield><subfield code="v">190</subfield><subfield code="w">(DE-604)BV000001885</subfield><subfield code="9">190</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=006793528&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:BVB01-006793528</subfield></datafield></record></collection> |
| id | DE-604.BV010222114 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:48:44Z |
| institution | BVB |
| isbn | 0824795989 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006793528 |
| oclc_num | 31291044 |
| open_access_boolean | |
| owner | DE-384 DE-12 DE-703 DE-11 DE-188 |
| owner_facet | DE-384 DE-12 DE-703 DE-11 DE-188 |
| physical | VII, 482 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Erbe, Lynn H. Verfasser aut Oscillation theory for functional differential equations L. H. Erbe ; Qingkai Kong ; B. G. Zhang New York [u.a.] Dekker 1995 VII, 482 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 190 Análise matemática larpcal Equations différentielles fonctionnelles - Solutions numériques ram Equações diferenciais funcionais larpcal Oscillations ram Functional differential equations Numerical solutions Oscillations Oszillatorisches Integral (DE-588)4610930-4 gnd rswk-swf Funktional-Differentialgleichung (DE-588)4155668-9 gnd rswk-swf Schwankung (DE-588)4231024-6 gnd rswk-swf Funktional-Differentialgleichung (DE-588)4155668-9 s Schwankung (DE-588)4231024-6 s DE-604 Oszillatorisches Integral (DE-588)4610930-4 s Kong, Qingkai Verfasser aut Zhang, Binggen G. Verfasser aut Pure and applied mathematics 190 (DE-604)BV000001885 190 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006793528&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Erbe, Lynn H. Kong, Qingkai Zhang, Binggen G. Oscillation theory for functional differential equations Pure and applied mathematics Análise matemática larpcal Equations différentielles fonctionnelles - Solutions numériques ram Equações diferenciais funcionais larpcal Oscillations ram Functional differential equations Numerical solutions Oscillations Oszillatorisches Integral (DE-588)4610930-4 gnd Funktional-Differentialgleichung (DE-588)4155668-9 gnd Schwankung (DE-588)4231024-6 gnd |
| subject_GND | (DE-588)4610930-4 (DE-588)4155668-9 (DE-588)4231024-6 |
| title | Oscillation theory for functional differential equations |
| title_auth | Oscillation theory for functional differential equations |
| title_exact_search | Oscillation theory for functional differential equations |
| title_full | Oscillation theory for functional differential equations L. H. Erbe ; Qingkai Kong ; B. G. Zhang |
| title_fullStr | Oscillation theory for functional differential equations L. H. Erbe ; Qingkai Kong ; B. G. Zhang |
| title_full_unstemmed | Oscillation theory for functional differential equations L. H. Erbe ; Qingkai Kong ; B. G. Zhang |
| title_short | Oscillation theory for functional differential equations |
| title_sort | oscillation theory for functional differential equations |
| topic | Análise matemática larpcal Equations différentielles fonctionnelles - Solutions numériques ram Equações diferenciais funcionais larpcal Oscillations ram Functional differential equations Numerical solutions Oscillations Oszillatorisches Integral (DE-588)4610930-4 gnd Funktional-Differentialgleichung (DE-588)4155668-9 gnd Schwankung (DE-588)4231024-6 gnd |
| topic_facet | Análise matemática Equations différentielles fonctionnelles - Solutions numériques Equações diferenciais funcionais Oscillations Functional differential equations Numerical solutions Oszillatorisches Integral Funktional-Differentialgleichung Schwankung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006793528&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
| work_keys_str_mv | AT erbelynnh oscillationtheoryforfunctionaldifferentialequations AT kongqingkai oscillationtheoryforfunctionaldifferentialequations AT zhangbinggeng oscillationtheoryforfunctionaldifferentialequations |