Gespeichert in:
| Titel: | Generalized quasilinearization for nonlinear problems |
|---|---|
| Von: |
by V. Lakshmikantham and A. S. Vatsala
|
| Person: |
Lakshmikantham, Vangipuram
1926-2012 Verfasser aut Vatsala, A. S. Sonstige |
| Hauptverfasser: | |
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
1998
|
| Schriftenreihe: | Mathematics and its applications
440 |
| Notation: | SK 520 |
| Schlagwörter: | |
| Medienzugang: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008345819&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | IX, 276 S. |
| ISBN: | 0792350383 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV012310915 | ||
| 003 | DE-604 | ||
| 007 | t| | ||
| 008 | 981210s1998 xx |||| 00||| eng d | ||
| 020 | |a 0792350383 |9 0-7923-5038-3 | ||
| 035 | |a (OCoLC)38550717 | ||
| 035 | |a (DE-599)BVBBV012310915 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-29T |a DE-11 | ||
| 050 | 0 | |a QA377 | |
| 082 | 0 | |a 515/.355 |2 21 | |
| 084 | |a SK 520 |0 (DE-625)143244: |2 rvk | ||
| 100 | 1 | |a Lakshmikantham, Vangipuram |d 1926-2012 |e Verfasser |0 (DE-588)104268050 |4 aut | |
| 245 | 1 | 0 | |a Generalized quasilinearization for nonlinear problems |c by V. Lakshmikantham and A. S. Vatsala |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 1998 | |
| 300 | |a IX, 276 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics and its applications |v 440 | |
| 650 | 4 | |a Analyse non linéaire | |
| 650 | 7 | |a Quasilinéarisation |2 ram | |
| 650 | 7 | |a Systèmes dynamiques |2 ram | |
| 650 | 7 | |a Équations différentielles non linéaires - Solutions numériques |2 ram | |
| 650 | 7 | |a Équations différentielles stochastiques |2 ram | |
| 650 | 4 | |a Differential equations, Nonlinear |x Numerical solutions | |
| 650 | 4 | |a Quasilinearization | |
| 650 | 0 | 7 | |a Quasilineare Differentialgleichung |0 (DE-588)4502329-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineare Differentialgleichung |0 (DE-588)4205536-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Linearisierung |0 (DE-588)4199872-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nichtlineare Differentialgleichung |0 (DE-588)4205536-2 |D s |
| 689 | 0 | 1 | |a Linearisierung |0 (DE-588)4199872-8 |D s |
| 689 | 0 | 2 | |a Quasilineare Differentialgleichung |0 (DE-588)4502329-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Vatsala, A. S. |e Sonstige |4 oth | |
| 830 | 0 | |a Mathematics and its applications |v 440 |w (DE-604)BV008163334 |9 440 | |
| 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=008345819&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-008345819 | |
Datensatz im Suchindex
| _version_ | 1826831280944185344 |
|---|---|
| adam_text |
Contents
Preface vii
1. FIRST ORDER DIFFERENTIAL EQUATIONS 1
1.0 Introduction 1
1.1 Method of upper and lower solutions 2
1.2 Method of quasiltnearization 10
1.3 Extensions 15
1.4 Generalizations 30
1.5 Refinements 52
1.6 Notes 67
2. FIRST ORDER DIFFERENTIAL EQUATIONS (CONT.) 69
2.0 Introduction 69
2.1 Periodic boundary value problems 70
2.2 Anti periodic boundary value problems 95
2.3 Interval analysis and quasilinearization 113
2.4 Higher order convergence 132
2.5 Another refinement of quasilinearization 138
2.6 Extension to system of differential equations 160
2.7 Notes 179
3. SECOND ORDER DIFFERENTIAL EQUATIONS 181
3.0 Introduction 181
3.1 Method of upper and lower solutions. 182
3.2 Extension of quasilinearization 186
3.3 Generalized quasilinearization 191
3.4 General second order BVP 197
v
vi GENERALIZED QUASILINEARIZATION FOR NONLINEAR PROBLEMS
3.5 General second order BVP (continued) 209
3.6 Higher order convergence 214
3.7 Notes 220
4. MISCELLANEOUS EXTENSIONS 221
4.0 Introduction 221
4.1 Dynamic systems on time scales 222
4.2 Integro differential equations 229
4.3 Functional differential equations 237
4.4 Impulsive differential equations 244
4.5 Stochastic differential equations 253
4.6 Differential equations in a Banach space 262
4.7 Notes 267
References 269
Index 275 |
| any_adam_object | 1 |
| author | Lakshmikantham, Vangipuram 1926-2012 |
| author_GND | (DE-588)104268050 |
| author_facet | Lakshmikantham, Vangipuram 1926-2012 |
| author_role | aut |
| author_sort | Lakshmikantham, Vangipuram 1926-2012 |
| author_variant | v l vl |
| building | Verbundindex |
| bvnumber | BV012310915 |
| callnumber-first | Q - Science |
| callnumber-label | QA377 |
| callnumber-raw | QA377 |
| callnumber-search | QA377 |
| callnumber-sort | QA 3377 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 520 |
| ctrlnum | (OCoLC)38550717 (DE-599)BVBBV012310915 |
| dewey-full | 515/.355 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.355 |
| dewey-search | 515/.355 |
| dewey-sort | 3515 3355 |
| 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>00000nam a2200000 cb4500</leader><controlfield tag="001">BV012310915</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">981210s1998 xx |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0792350383</subfield><subfield code="9">0-7923-5038-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)38550717</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV012310915</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-703</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA377</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.355</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="100" ind1="1" ind2=" "><subfield code="a">Lakshmikantham, Vangipuram</subfield><subfield code="d">1926-2012</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)104268050</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Generalized quasilinearization for nonlinear problems</subfield><subfield code="c">by V. Lakshmikantham and A. S. Vatsala</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Dordrecht [u.a.]</subfield><subfield code="b">Kluwer</subfield><subfield code="c">1998</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IX, 276 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">Mathematics and its applications</subfield><subfield code="v">440</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Analyse non linéaire</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Quasilinéarisation</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Systèmes dynamiques</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Équations différentielles non linéaires - Solutions numériques</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Équations différentielles stochastiques</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations, Nonlinear</subfield><subfield code="x">Numerical solutions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quasilinearization</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Quasilineare Differentialgleichung</subfield><subfield code="0">(DE-588)4502329-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtlineare Differentialgleichung</subfield><subfield code="0">(DE-588)4205536-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Linearisierung</subfield><subfield code="0">(DE-588)4199872-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Nichtlineare Differentialgleichung</subfield><subfield code="0">(DE-588)4205536-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Linearisierung</subfield><subfield code="0">(DE-588)4199872-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Quasilineare Differentialgleichung</subfield><subfield code="0">(DE-588)4502329-3</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">Vatsala, A. S.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Mathematics and its applications</subfield><subfield code="v">440</subfield><subfield code="w">(DE-604)BV008163334</subfield><subfield code="9">440</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=008345819&sequence=000002&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:BVB01-008345819</subfield></datafield></record></collection> |
| id | DE-604.BV012310915 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-17T09:01:12Z |
| institution | BVB |
| isbn | 0792350383 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008345819 |
| oclc_num | 38550717 |
| open_access_boolean | |
| owner | DE-703 DE-29T DE-11 |
| owner_facet | DE-703 DE-29T DE-11 |
| physical | IX, 276 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Lakshmikantham, Vangipuram 1926-2012 Verfasser (DE-588)104268050 aut Generalized quasilinearization for nonlinear problems by V. Lakshmikantham and A. S. Vatsala Dordrecht [u.a.] Kluwer 1998 IX, 276 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 440 Analyse non linéaire Quasilinéarisation ram Systèmes dynamiques ram Équations différentielles non linéaires - Solutions numériques ram Équations différentielles stochastiques ram Differential equations, Nonlinear Numerical solutions Quasilinearization Quasilineare Differentialgleichung (DE-588)4502329-3 gnd rswk-swf Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd rswk-swf Linearisierung (DE-588)4199872-8 gnd rswk-swf Nichtlineare Differentialgleichung (DE-588)4205536-2 s Linearisierung (DE-588)4199872-8 s Quasilineare Differentialgleichung (DE-588)4502329-3 s DE-604 Vatsala, A. S. Sonstige oth Mathematics and its applications 440 (DE-604)BV008163334 440 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008345819&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lakshmikantham, Vangipuram 1926-2012 Generalized quasilinearization for nonlinear problems Mathematics and its applications Analyse non linéaire Quasilinéarisation ram Systèmes dynamiques ram Équations différentielles non linéaires - Solutions numériques ram Équations différentielles stochastiques ram Differential equations, Nonlinear Numerical solutions Quasilinearization Quasilineare Differentialgleichung (DE-588)4502329-3 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Linearisierung (DE-588)4199872-8 gnd |
| subject_GND | (DE-588)4502329-3 (DE-588)4205536-2 (DE-588)4199872-8 |
| title | Generalized quasilinearization for nonlinear problems |
| title_auth | Generalized quasilinearization for nonlinear problems |
| title_exact_search | Generalized quasilinearization for nonlinear problems |
| title_full | Generalized quasilinearization for nonlinear problems by V. Lakshmikantham and A. S. Vatsala |
| title_fullStr | Generalized quasilinearization for nonlinear problems by V. Lakshmikantham and A. S. Vatsala |
| title_full_unstemmed | Generalized quasilinearization for nonlinear problems by V. Lakshmikantham and A. S. Vatsala |
| title_short | Generalized quasilinearization for nonlinear problems |
| title_sort | generalized quasilinearization for nonlinear problems |
| topic | Analyse non linéaire Quasilinéarisation ram Systèmes dynamiques ram Équations différentielles non linéaires - Solutions numériques ram Équations différentielles stochastiques ram Differential equations, Nonlinear Numerical solutions Quasilinearization Quasilineare Differentialgleichung (DE-588)4502329-3 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Linearisierung (DE-588)4199872-8 gnd |
| topic_facet | Analyse non linéaire Quasilinéarisation Systèmes dynamiques Équations différentielles non linéaires - Solutions numériques Équations différentielles stochastiques Differential equations, Nonlinear Numerical solutions Quasilinearization Quasilineare Differentialgleichung Nichtlineare Differentialgleichung Linearisierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008345819&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT lakshmikanthamvangipuram generalizedquasilinearizationfornonlinearproblems AT vatsalaas generalizedquasilinearizationfornonlinearproblems |