Oscillation theory for second order dynamic equations
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London [u.a.]
Taylor & Francis
2003
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Series in mathematical analysis and applications
5 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV014797301 | ||
| 003 | DE-604 | ||
| 005 | 20060214 | ||
| 007 | t| | ||
| 008 | 021014s2003 xx |||| 00||| eng d | ||
| 020 | |a 0415300746 |9 0-415-30074-6 | ||
| 035 | |a (OCoLC)50581269 | ||
| 035 | |a (DE-599)BVBBV014797301 | ||
| 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 515.35 |2 21 | |
| 084 | |a SK 520 |0 (DE-625)143244: |2 rvk | ||
| 084 | |a SK 920 |0 (DE-625)143272: |2 rvk | ||
| 100 | 1 | |a Agarwal, Ravi P. |d 1947- |e Verfasser |0 (DE-588)112040187 |4 aut | |
| 245 | 1 | 0 | |a Oscillation theory for second order dynamic equations |c Ravi P. Agarwal ; Said R. Grace ; Donal O'Regan |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a London [u.a.] |b Taylor & Francis |c 2003 | |
| 300 | |a VIII, 404 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Series in mathematical analysis and applications |v 5 | |
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Functional differential equations |x Oscillation theory | |
| 650 | 0 | 7 | |a Ordnung 2 |0 (DE-588)4350619-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dynamisches System |0 (DE-588)4013396-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Oszillatorische Differentialgleichung |0 (DE-588)4698354-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Oszillatorische Differentialgleichung |0 (DE-588)4698354-5 |D s |
| 689 | 0 | 1 | |a Dynamisches System |0 (DE-588)4013396-5 |D s |
| 689 | 0 | 2 | |a Ordnung 2 |0 (DE-588)4350619-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Grace, Said R. |e Verfasser |4 aut | |
| 700 | 1 | |a O'Regan, Donal |e Verfasser |4 aut | |
| 830 | 0 | |a Series in mathematical analysis and applications |v 5 |w (DE-604)BV013405523 |9 5 | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010013520&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010013520 | |
Datensatz im Suchindex
| _version_ | 1819643286987472896 |
|---|---|
| adam_text | OSCILLATION THEORY FOR SECOND ORDER DYNAMIC EQUATIONS RAVI P. AGARWAL
DEPARTMENT OF MATHEMATICAL SCIENCES, FLORIDA INSTITUTE OF TECHNOLOGY,
USA, SAID R. GRACE DEPARTMENT OF ENGINEERING MATHEMATICS, CAIRO
UNIVERSITY, EGYPT AND DONAL O REGAN DEPARTMENT OF MATHEMATICS, NATIONAL
UNIVERSITY OF IRELAND, GALWAY, IRELAND TAYLOR &. FRANCIS TAYLOR &
FRANCIS GROUP LONDON AND NEW YORK CONTENTS PREFACE VII CHAPTER 1
PRELIMINARIES 1.0. INTRODUCTION 1 1.1. INITIAL VALUE PROBLEM,
OSCILLATION AND NONOSCILLATION 2 1.2. CONTINUABILITY AND BOUNDEDNESS 3
1.3. SOME BASIC RESULTS FOR SECOND ORDER LINEAR ORDINARY DIFFERENTIAL
EQUATIONS 12 1.4. SOME USEFUL CRITERIA FOR FIRST ORDER FUNCTIONAL
DIFFERENTIAL EQUATIONS 27 1.5. SOME USEFUL RESULTS FROM ANALYSIS AND
FIXED POINT THEOREMS 29 1.6. NOTES AND GENERAL DISCUSSIONS 32 1.7.
REFERENCES 33 CHAPTER 2 OSCILLATION OF DIFFERENTIAL EQUATIONS WITH
DEVIATING ARGUMENTS 2.0. INTRODUCTION 35 2.1. OSCILLATION THEOREMS (I)
36 2.2. OSCILLATION THEOREMS (II) 51 2.3. COMPARISON THEOREMS FOR SECOND
ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS 64 2.4. OSCILLATION OF
FUNCTIONAL EQUATIONS WITH A DAMPING TERM 80 2.5. OSCILLATION OF SECOND
ORDER LINEAR DELAY DIFFERENTIAL EQUATIONS 107 2.6. OSCILLATION OF FORCED
FUNCTIONAL DIFFERENTIAL EQUATIONS 116 2.7. OSCILLATION OF FUNCTIONAL
EQUATIONS WITH DAMPING AND FORCING TERMS 129 2.8. NECESSARY AND
SUFFICIENT CONDITIONS FOR THE OSCILLATION OF FORCED EQUATIONS 136 2.9.
OSCILLATION FOR PERTURBED DIFFERENTIAL EQUATIONS 149 2.10. ASYMPTOTIC
BEHAVIOR OF OSCILLATORY SOLUTIONS OF FUNCTIONAL EQUATIONS 160 2.11.
NOTES AND GENERAL DISCUSSIONS 171 2.12. REFERENCES . 176 VI CONTENTS
CHAPTER 3 OSCILLATION OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS 3.0.
INTRODUCTION 185 3.1. OSCILLATION OF NONLINEAR NEUTRAL EQUATIONS 186
3.2. OSCILLATION OF NEUTRAL EQUATIONS WITH DAMPING 202 3.3. OSCILLATION
OF FORCED NEUTRAL EQUATIONS 209 3.4. OSCILLATION OF NEUTRAL EQUATIONS OF
MIXED TYPE 220 3.5. NECESSARY AND SUFFICIENT CONDITIONS FOR OSCILLATIONS
OF NEUTRAL EQUATIONS WITH DEVIATING ARGUMENTS 235 3.6. COMPARISON AND
LINEARIZED OSCILLATION THEOREMS FOR NEUTRAL EQUATIONS 259 3.7. EXISTENCE
OF NONOSCILLATORY SOLUTIONS OF NEUTRAL DELAY DIFFERENTIAL EQUATIONS 266
3.8. ASYMPTOTIC BEHAVIOR OF NONOSCILLATORY SOLUTIONS OF NEUTRAL
NONLINEAR DELAY DIFFERENTIAL EQUATIONS 296 3.9. NOTES AND GENERAL
DISCUSSIONS 312 3.10. REFERENCES 314 CHAPTER 4 CONJUGACY AND
NONOSCILLATION FOR SECOND ORDER DIFFERENTIAL EQUATIONS 4.0. INTRODUCTION
318 4.1. CONJUGACY OF LINEAR SECOND ORDER ORDINARY DIFFERENTIAL
EQUATIONS 318 4.2. NONOSCILLATION THEOREMS 333 4.3. INTEGRAL CONDITIONS
AND NONOSCILLATION 341 4.4. NOTES AND GENERAL DISCUSSIONS 348 4.5.
REFERENCES 352 CHAPTER 5 OSCILLATION OF IMPULSIVE DIFFERENTIAL EQUATIONS
5.0. INTRODUCTION 355 5.1. OSCILLATION CRITERIA FOR IMPULSIVE DELAY
DIFFERENTIAL EQUATIONS 355 5.2. OSCILLATION OF SECOND ORDER LINEAR
DIFFERENTIAL EQUATIONS WITH IMPULSES 374 5.3. OSCILLATION OF SECOND
ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH IMPULSES 386 5.4. NOTES AND
GENERAL DISCUSSIONS 401 5.5. REFERENCES 401 SUBJECT INDEX 403
|
| any_adam_object | 1 |
| author | Agarwal, Ravi P. 1947- Grace, Said R. O'Regan, Donal |
| author_GND | (DE-588)112040187 |
| author_facet | Agarwal, Ravi P. 1947- Grace, Said R. O'Regan, Donal |
| author_role | aut aut aut |
| author_sort | Agarwal, Ravi P. 1947- |
| author_variant | r p a rp rpa s r g sr srg d o do |
| building | Verbundindex |
| bvnumber | BV014797301 |
| 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 920 |
| ctrlnum | (OCoLC)50581269 (DE-599)BVBBV014797301 |
| dewey-full | 515.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.35 |
| dewey-search | 515.35 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01978nam a2200481 cb4500</leader><controlfield tag="001">BV014797301</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20060214 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">021014s2003 xx |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0415300746</subfield><subfield code="9">0-415-30074-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)50581269</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV014797301</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">515.35</subfield><subfield code="2">21</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 920</subfield><subfield code="0">(DE-625)143272:</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">Oscillation theory for second order dynamic equations</subfield><subfield code="c">Ravi P. Agarwal ; Said R. Grace ; Donal O'Regan</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. publ.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">London [u.a.]</subfield><subfield code="b">Taylor & Francis</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 404 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 mathematical analysis and applications</subfield><subfield code="v">5</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional differential equations</subfield><subfield code="x">Oscillation theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Ordnung 2</subfield><subfield code="0">(DE-588)4350619-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Dynamisches System</subfield><subfield code="0">(DE-588)4013396-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Oszillatorische Differentialgleichung</subfield><subfield code="0">(DE-588)4698354-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Oszillatorische Differentialgleichung</subfield><subfield code="0">(DE-588)4698354-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Dynamisches System</subfield><subfield code="0">(DE-588)4013396-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Ordnung 2</subfield><subfield code="0">(DE-588)4350619-7</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">Grace, Said R.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">O'Regan, Donal</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Series in mathematical analysis and applications</subfield><subfield code="v">5</subfield><subfield code="w">(DE-604)BV013405523</subfield><subfield code="9">5</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV 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=010013520&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-010013520</subfield></datafield></record></collection> |
| id | DE-604.BV014797301 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-23T16:01:55Z |
| institution | BVB |
| isbn | 0415300746 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010013520 |
| oclc_num | 50581269 |
| open_access_boolean | |
| owner | DE-703 DE-11 |
| owner_facet | DE-703 DE-11 |
| physical | VIII, 404 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Taylor & Francis |
| record_format | marc |
| series | Series in mathematical analysis and applications |
| series2 | Series in mathematical analysis and applications |
| spellingShingle | Agarwal, Ravi P. 1947- Grace, Said R. O'Regan, Donal Oscillation theory for second order dynamic equations Series in mathematical analysis and applications Differential equations Functional differential equations Oscillation theory Ordnung 2 (DE-588)4350619-7 gnd Dynamisches System (DE-588)4013396-5 gnd Oszillatorische Differentialgleichung (DE-588)4698354-5 gnd |
| subject_GND | (DE-588)4350619-7 (DE-588)4013396-5 (DE-588)4698354-5 |
| title | Oscillation theory for second order dynamic equations |
| title_auth | Oscillation theory for second order dynamic equations |
| title_exact_search | Oscillation theory for second order dynamic equations |
| title_full | Oscillation theory for second order dynamic equations Ravi P. Agarwal ; Said R. Grace ; Donal O'Regan |
| title_fullStr | Oscillation theory for second order dynamic equations Ravi P. Agarwal ; Said R. Grace ; Donal O'Regan |
| title_full_unstemmed | Oscillation theory for second order dynamic equations Ravi P. Agarwal ; Said R. Grace ; Donal O'Regan |
| title_short | Oscillation theory for second order dynamic equations |
| title_sort | oscillation theory for second order dynamic equations |
| topic | Differential equations Functional differential equations Oscillation theory Ordnung 2 (DE-588)4350619-7 gnd Dynamisches System (DE-588)4013396-5 gnd Oszillatorische Differentialgleichung (DE-588)4698354-5 gnd |
| topic_facet | Differential equations Functional differential equations Oscillation theory Ordnung 2 Dynamisches System Oszillatorische Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010013520&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV013405523 |
| work_keys_str_mv | AT agarwalravip oscillationtheoryforsecondorderdynamicequations AT gracesaidr oscillationtheoryforsecondorderdynamicequations AT oregandonal oscillationtheoryforsecondorderdynamicequations |