An introduction to nonlinear boundary value problems /:
An introduction to nonlinear boundary value problems.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York :
Academic Press,
1974.
|
| Schriftenreihe: | Mathematics in science and engineering ;
v. 109. |
| Schlagworte: | |
| Online-Zugang: | Volltext Volltext |
| Zusammenfassung: | An introduction to nonlinear boundary value problems. |
| Beschreibung: | 1 online resource (xi, 386 pages) |
| Bibliographie: | Includes bibliographical references (pages 368-383) and index. |
| ISBN: | 9780120931507 0120931508 9780080956183 0080956181 1282289608 9781282289604 9786612289606 6612289600 |
Internformat
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn316568479 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 090320s1974 nyu ob 001 0 eng d | ||
| 040 | |a OPELS |b eng |e pn |c OPELS |d N$T |d OCLCQ |d EBLCP |d IDEBK |d OPELS |d E7B |d OCLCQ |d OPELS |d MHW |d OCLCQ |d OCLCO |d OCLCQ |d OCLCF |d DEBBG |d OCLCQ |d NLGGC |d DEBSZ |d OCLCQ |d COO |d OCLCQ |d AGLDB |d OCLCQ |d VTS |d STF |d LEAUB |d M8D |d OCLCQ |d VLY |d OCLCA |d OCLCO |d INARC |d OCLCO |d OCL |d OCLCQ |d OCLCO |d OCLCL | ||
| 019 | |a 646827761 |a 742295292 |a 816325213 |a 823122134 |a 823843547 |a 823912253 |a 824099320 |a 824154738 |a 1162553423 |a 1241913828 |a 1300538760 | ||
| 020 | |a 9780120931507 |q (electronic bk.) | ||
| 020 | |a 0120931508 |q (electronic bk.) | ||
| 020 | |a 9780080956183 |q (electronic bk.) | ||
| 020 | |a 0080956181 |q (electronic bk.) | ||
| 020 | |a 1282289608 | ||
| 020 | |a 9781282289604 | ||
| 020 | |a 9786612289606 | ||
| 020 | |a 6612289600 | ||
| 035 | |a (OCoLC)316568479 |z (OCoLC)646827761 |z (OCoLC)742295292 |z (OCoLC)816325213 |z (OCoLC)823122134 |z (OCoLC)823843547 |z (OCoLC)823912253 |z (OCoLC)824099320 |z (OCoLC)824154738 |z (OCoLC)1162553423 |z (OCoLC)1241913828 |z (OCoLC)1300538760 | ||
| 050 | 4 | |a QA379 |b .B47 1974eb | |
| 072 | 7 | |a MAT |x 007000 |2 bisacsh | |
| 082 | 7 | |a 515/.35 |2 22 | |
| 049 | |a MAIN | ||
| 100 | 1 | |a Bernfeld, Stephen R. |0 http://id.loc.gov/authorities/names/no2003007671 | |
| 245 | 1 | 3 | |a An introduction to nonlinear boundary value problems / |c Stephen R. Bernfeld, V. Lakshmikantham. |
| 260 | |a New York : |b Academic Press, |c 1974. | ||
| 300 | |a 1 online resource (xi, 386 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Mathematics in science and engineering ; |v v. 109 | |
| 504 | |a Includes bibliographical references (pages 368-383) and index. | ||
| 520 | |a An introduction to nonlinear boundary value problems. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; An Introduction to Nonlinear Boundary Value Problems; Copyright Page; Contents; Preface; Acknowledgments; Chapter 1. Methods Involving Differential Inequalities; 1.0. Introduction; 1.1. Existencein the small; 1.2. Upper and Lower Solutions; 1.3. The Modified Function; 1.4. Nagumo's Condition; 1.5. Existence in the Large; 1.6. Lyapunov-Like Functions; 1.7. Existence on Infinite Intervals; 1.8. Super- and Subfunctions; 1.9. Properties of Subfunctions; 1.10. Perron's Method; 1.11. Modified Vector Function; 1.12. Nagumo's Condition (Continued) | |
| 505 | 8 | |a 1.13. Existence in the Large for Systems1.14. Further Results for Systems; 1.15. Notes and comments; Chapter 2. Shooting Type Methods; 2.0. Introduction; 2.1. Uniqueness Implies Existence; 2.2. General Linear Boundary Conditions; 2.3. Weaker Uniqueness Conditions; 2.4. Nonlinear Boundary Conditions; 2.5. Angular Function Technique; 2.6. Fundamental Lemmas; 2.7. Existence; 2.8. Uniqueness; 2.9. Estimation of Number of Solutions; 2.10. Existence of Infinite Number of Solutions; 2.11. Nonlinear Boundary Conditions; 2.12. Notes and Comments; Chapter 3. Topological Methods; 3.0. Introduction | |
| 505 | 8 | |a 3.1. Solution Funnels3.2. Application to Second-Order Equations; 3.3. Wazewski Retract Method; 3.4. Generalized Differential Equations; 3.5. Dependence of Solutions on Boundary Data; 3.6. Notes and Comments; Chapter 4. Functional Analytic Methods; 4.0. Introduction; 4.1. Linear Problems for Linear Systems; 4.2. Linear Problems for Nonlinear Systems; 4.3. Interpolation Problems; 4.4. Further Nonlinear Problems; 4.5. Generalized Spaces; 4.6. Integral Equations; 4.7. Application to Existence and Uniqueness; 4.8. Method of A Priori Estimates; 4.9. Bounds for Solutions in Admissible Subspaces | |
| 505 | 8 | |a 4.10. Leray Schauder's Alternative4.11. Application of Leray-Schauder's Alternative; 4.12. Periodic Boundary Conditions; 4.13. Set-Valued Mappings and Functional Equations; 4.14. General Linear Problems; 4.15. General Results for Set-Valued Mappings; 4.16. Set-Valued Differential Equations; 4.17. Notes and Comments; Chapter 5. Extensions to Functional Differential Equations; 5.0. Introduction; 5.1. Existence in the Small; 5.2. Existence in the Large; 5.3. Shooting Method; 5.4. Nonhomogeneous Linear Boundary Conditions; 5.5. Linear Problems; 5.6. Nonlinear Problems; 5.7. Degenerate Cases | |
| 505 | 8 | |a 5.8. Notes and CommentsChapter 6. Selected Topics; 6.0. Introduction; 6.1. Newton's Method; 6.2. The Goodman-Lance Method; 6.3. The Method of Quasilinearization; 6.4. Nonlinear Eigenvalue Problems; 6.5. n-Parameter Families and Interpolation Problems; 6.6. Notes and Comments; Bibliography; Additional Bibliography; Index | |
| 546 | |a English. | ||
| 650 | 0 | |a Nonlinear boundary value problems. |0 http://id.loc.gov/authorities/subjects/sh89000379 | |
| 650 | 0 | |a Nonlinear theories. |0 http://id.loc.gov/authorities/subjects/sh85092332 | |
| 650 | 0 | |a Boundary value problems. |0 http://id.loc.gov/authorities/subjects/sh85016102 | |
| 650 | 6 | |a Problèmes aux limites. | |
| 650 | 6 | |a Théories non linéaires. | |
| 650 | 6 | |a Problèmes aux limites non linéaires. | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x General. |2 bisacsh | |
| 650 | 7 | |a Boundary value problems |2 fast | |
| 650 | 7 | |a Nonlinear boundary value problems |2 fast | |
| 650 | 7 | |a Nonlinear theories |2 fast | |
| 700 | 1 | |a Lakshmikantham, V., |d 1926-2012. |1 https://id.oclc.org/worldcat/entity/E39PBJh4xDkWxv4CWJ6trPKWXd | |
| 758 | |i has work: |a An introduction to nonlinear boundary value problems (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG3qy9kDR3Wb9xFQBKX3cd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Bernfeld, Stephen R. |t Introduction to nonlinear boundary value problems. |d New York : Academic Press, 1974 |z 0120931508 |z 9780120931507 |w (DLC) 73021996 |w (OCoLC)796948 |
| 830 | 0 | |a Mathematics in science and engineering ; |v v. 109. |0 http://id.loc.gov/authorities/names/n42015986 | |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297003 |3 Volltext |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://www.sciencedirect.com/science/bookseries/00765392/109 |3 Volltext |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL453050 | ||
| 938 | |a ebrary |b EBRY |n ebr10329562 | ||
| 938 | |a EBSCOhost |b EBSC |n 297003 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n 228960 | ||
| 938 | |a Internet Archive |b INAR |n introductiontono0000bern | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn316568479 |
|---|---|
| _version_ | 1816881689321799680 |
| adam_text | |
| any_adam_object | |
| author | Bernfeld, Stephen R. |
| author2 | Lakshmikantham, V., 1926-2012 |
| author2_role | |
| author2_variant | v l vl |
| author_GND | http://id.loc.gov/authorities/names/no2003007671 |
| author_facet | Bernfeld, Stephen R. Lakshmikantham, V., 1926-2012 |
| author_role | |
| author_sort | Bernfeld, Stephen R. |
| author_variant | s r b sr srb |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA379 |
| callnumber-raw | QA379 .B47 1974eb |
| callnumber-search | QA379 .B47 1974eb |
| callnumber-sort | QA 3379 B47 41974EB |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | Front Cover; An Introduction to Nonlinear Boundary Value Problems; Copyright Page; Contents; Preface; Acknowledgments; Chapter 1. Methods Involving Differential Inequalities; 1.0. Introduction; 1.1. Existencein the small; 1.2. Upper and Lower Solutions; 1.3. The Modified Function; 1.4. Nagumo's Condition; 1.5. Existence in the Large; 1.6. Lyapunov-Like Functions; 1.7. Existence on Infinite Intervals; 1.8. Super- and Subfunctions; 1.9. Properties of Subfunctions; 1.10. Perron's Method; 1.11. Modified Vector Function; 1.12. Nagumo's Condition (Continued) 1.13. Existence in the Large for Systems1.14. Further Results for Systems; 1.15. Notes and comments; Chapter 2. Shooting Type Methods; 2.0. Introduction; 2.1. Uniqueness Implies Existence; 2.2. General Linear Boundary Conditions; 2.3. Weaker Uniqueness Conditions; 2.4. Nonlinear Boundary Conditions; 2.5. Angular Function Technique; 2.6. Fundamental Lemmas; 2.7. Existence; 2.8. Uniqueness; 2.9. Estimation of Number of Solutions; 2.10. Existence of Infinite Number of Solutions; 2.11. Nonlinear Boundary Conditions; 2.12. Notes and Comments; Chapter 3. Topological Methods; 3.0. Introduction 3.1. Solution Funnels3.2. Application to Second-Order Equations; 3.3. Wazewski Retract Method; 3.4. Generalized Differential Equations; 3.5. Dependence of Solutions on Boundary Data; 3.6. Notes and Comments; Chapter 4. Functional Analytic Methods; 4.0. Introduction; 4.1. Linear Problems for Linear Systems; 4.2. Linear Problems for Nonlinear Systems; 4.3. Interpolation Problems; 4.4. Further Nonlinear Problems; 4.5. Generalized Spaces; 4.6. Integral Equations; 4.7. Application to Existence and Uniqueness; 4.8. Method of A Priori Estimates; 4.9. Bounds for Solutions in Admissible Subspaces 4.10. Leray Schauder's Alternative4.11. Application of Leray-Schauder's Alternative; 4.12. Periodic Boundary Conditions; 4.13. Set-Valued Mappings and Functional Equations; 4.14. General Linear Problems; 4.15. General Results for Set-Valued Mappings; 4.16. Set-Valued Differential Equations; 4.17. Notes and Comments; Chapter 5. Extensions to Functional Differential Equations; 5.0. Introduction; 5.1. Existence in the Small; 5.2. Existence in the Large; 5.3. Shooting Method; 5.4. Nonhomogeneous Linear Boundary Conditions; 5.5. Linear Problems; 5.6. Nonlinear Problems; 5.7. Degenerate Cases 5.8. Notes and CommentsChapter 6. Selected Topics; 6.0. Introduction; 6.1. Newton's Method; 6.2. The Goodman-Lance Method; 6.3. The Method of Quasilinearization; 6.4. Nonlinear Eigenvalue Problems; 6.5. n-Parameter Families and Interpolation Problems; 6.6. Notes and Comments; Bibliography; Additional Bibliography; Index |
| ctrlnum | (OCoLC)316568479 |
| 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 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>06458cam a2200745 a 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn316568479</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr cnu---unuuu</controlfield><controlfield tag="008">090320s1974 nyu ob 001 0 eng d</controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">OPELS</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">OPELS</subfield><subfield code="d">N$T</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">EBLCP</subfield><subfield code="d">IDEBK</subfield><subfield code="d">OPELS</subfield><subfield code="d">E7B</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OPELS</subfield><subfield code="d">MHW</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCF</subfield><subfield code="d">DEBBG</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">NLGGC</subfield><subfield code="d">DEBSZ</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">COO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">AGLDB</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VTS</subfield><subfield code="d">STF</subfield><subfield code="d">LEAUB</subfield><subfield code="d">M8D</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VLY</subfield><subfield code="d">OCLCA</subfield><subfield code="d">OCLCO</subfield><subfield code="d">INARC</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">646827761</subfield><subfield code="a">742295292</subfield><subfield code="a">816325213</subfield><subfield code="a">823122134</subfield><subfield code="a">823843547</subfield><subfield code="a">823912253</subfield><subfield code="a">824099320</subfield><subfield code="a">824154738</subfield><subfield code="a">1162553423</subfield><subfield code="a">1241913828</subfield><subfield code="a">1300538760</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780120931507</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0120931508</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780080956183</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0080956181</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1282289608</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781282289604</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9786612289606</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">6612289600</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)316568479</subfield><subfield code="z">(OCoLC)646827761</subfield><subfield code="z">(OCoLC)742295292</subfield><subfield code="z">(OCoLC)816325213</subfield><subfield code="z">(OCoLC)823122134</subfield><subfield code="z">(OCoLC)823843547</subfield><subfield code="z">(OCoLC)823912253</subfield><subfield code="z">(OCoLC)824099320</subfield><subfield code="z">(OCoLC)824154738</subfield><subfield code="z">(OCoLC)1162553423</subfield><subfield code="z">(OCoLC)1241913828</subfield><subfield code="z">(OCoLC)1300538760</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA379</subfield><subfield code="b">.B47 1974eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">007000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">515/.35</subfield><subfield code="2">22</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bernfeld, Stephen R.</subfield><subfield code="0">http://id.loc.gov/authorities/names/no2003007671</subfield></datafield><datafield tag="245" ind1="1" ind2="3"><subfield code="a">An introduction to nonlinear boundary value problems /</subfield><subfield code="c">Stephen R. Bernfeld, V. Lakshmikantham.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">New York :</subfield><subfield code="b">Academic Press,</subfield><subfield code="c">1974.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xi, 386 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Mathematics in science and engineering ;</subfield><subfield code="v">v. 109</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 368-383) and index.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">An introduction to nonlinear boundary value problems.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Front Cover; An Introduction to Nonlinear Boundary Value Problems; Copyright Page; Contents; Preface; Acknowledgments; Chapter 1. Methods Involving Differential Inequalities; 1.0. Introduction; 1.1. Existencein the small; 1.2. Upper and Lower Solutions; 1.3. The Modified Function; 1.4. Nagumo's Condition; 1.5. Existence in the Large; 1.6. Lyapunov-Like Functions; 1.7. Existence on Infinite Intervals; 1.8. Super- and Subfunctions; 1.9. Properties of Subfunctions; 1.10. Perron's Method; 1.11. Modified Vector Function; 1.12. Nagumo's Condition (Continued)</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">1.13. Existence in the Large for Systems1.14. Further Results for Systems; 1.15. Notes and comments; Chapter 2. Shooting Type Methods; 2.0. Introduction; 2.1. Uniqueness Implies Existence; 2.2. General Linear Boundary Conditions; 2.3. Weaker Uniqueness Conditions; 2.4. Nonlinear Boundary Conditions; 2.5. Angular Function Technique; 2.6. Fundamental Lemmas; 2.7. Existence; 2.8. Uniqueness; 2.9. Estimation of Number of Solutions; 2.10. Existence of Infinite Number of Solutions; 2.11. Nonlinear Boundary Conditions; 2.12. Notes and Comments; Chapter 3. Topological Methods; 3.0. Introduction</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">3.1. Solution Funnels3.2. Application to Second-Order Equations; 3.3. Wazewski Retract Method; 3.4. Generalized Differential Equations; 3.5. Dependence of Solutions on Boundary Data; 3.6. Notes and Comments; Chapter 4. Functional Analytic Methods; 4.0. Introduction; 4.1. Linear Problems for Linear Systems; 4.2. Linear Problems for Nonlinear Systems; 4.3. Interpolation Problems; 4.4. Further Nonlinear Problems; 4.5. Generalized Spaces; 4.6. Integral Equations; 4.7. Application to Existence and Uniqueness; 4.8. Method of A Priori Estimates; 4.9. Bounds for Solutions in Admissible Subspaces</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">4.10. Leray Schauder's Alternative4.11. Application of Leray-Schauder's Alternative; 4.12. Periodic Boundary Conditions; 4.13. Set-Valued Mappings and Functional Equations; 4.14. General Linear Problems; 4.15. General Results for Set-Valued Mappings; 4.16. Set-Valued Differential Equations; 4.17. Notes and Comments; Chapter 5. Extensions to Functional Differential Equations; 5.0. Introduction; 5.1. Existence in the Small; 5.2. Existence in the Large; 5.3. Shooting Method; 5.4. Nonhomogeneous Linear Boundary Conditions; 5.5. Linear Problems; 5.6. Nonlinear Problems; 5.7. Degenerate Cases</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">5.8. Notes and CommentsChapter 6. Selected Topics; 6.0. Introduction; 6.1. Newton's Method; 6.2. The Goodman-Lance Method; 6.3. The Method of Quasilinearization; 6.4. Nonlinear Eigenvalue Problems; 6.5. n-Parameter Families and Interpolation Problems; 6.6. Notes and Comments; Bibliography; Additional Bibliography; Index</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">English.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Nonlinear boundary value problems.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh89000379</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Nonlinear theories.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85092332</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Boundary value problems.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85016102</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Problèmes aux limites.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Théories non linéaires.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Problèmes aux limites non linéaires.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Differential Equations</subfield><subfield code="x">General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Boundary value problems</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Nonlinear boundary value problems</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Nonlinear theories</subfield><subfield code="2">fast</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lakshmikantham, V.,</subfield><subfield code="d">1926-2012.</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PBJh4xDkWxv4CWJ6trPKWXd</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">An introduction to nonlinear boundary value problems (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCG3qy9kDR3Wb9xFQBKX3cd</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Bernfeld, Stephen R.</subfield><subfield code="t">Introduction to nonlinear boundary value problems.</subfield><subfield code="d">New York : Academic Press, 1974</subfield><subfield code="z">0120931508</subfield><subfield code="z">9780120931507</subfield><subfield code="w">(DLC) 73021996</subfield><subfield code="w">(OCoLC)796948</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Mathematics in science and engineering ;</subfield><subfield code="v">v. 109.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n42015986</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297003</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://www.sciencedirect.com/science/bookseries/00765392/109</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest Ebook Central</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL453050</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ebrary</subfield><subfield code="b">EBRY</subfield><subfield code="n">ebr10329562</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">297003</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest MyiLibrary Digital eBook Collection</subfield><subfield code="b">IDEB</subfield><subfield code="n">228960</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Internet Archive</subfield><subfield code="b">INAR</subfield><subfield code="n">introductiontono0000bern</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| id | ZDB-4-EBA-ocn316568479 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:16:42Z |
| institution | BVB |
| isbn | 9780120931507 0120931508 9780080956183 0080956181 1282289608 9781282289604 9786612289606 6612289600 |
| language | English |
| oclc_num | 316568479 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xi, 386 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| publisher | Academic Press, |
| record_format | marc |
| series | Mathematics in science and engineering ; |
| series2 | Mathematics in science and engineering ; |
| spelling | Bernfeld, Stephen R. http://id.loc.gov/authorities/names/no2003007671 An introduction to nonlinear boundary value problems / Stephen R. Bernfeld, V. Lakshmikantham. New York : Academic Press, 1974. 1 online resource (xi, 386 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Mathematics in science and engineering ; v. 109 Includes bibliographical references (pages 368-383) and index. An introduction to nonlinear boundary value problems. Print version record. Front Cover; An Introduction to Nonlinear Boundary Value Problems; Copyright Page; Contents; Preface; Acknowledgments; Chapter 1. Methods Involving Differential Inequalities; 1.0. Introduction; 1.1. Existencein the small; 1.2. Upper and Lower Solutions; 1.3. The Modified Function; 1.4. Nagumo's Condition; 1.5. Existence in the Large; 1.6. Lyapunov-Like Functions; 1.7. Existence on Infinite Intervals; 1.8. Super- and Subfunctions; 1.9. Properties of Subfunctions; 1.10. Perron's Method; 1.11. Modified Vector Function; 1.12. Nagumo's Condition (Continued) 1.13. Existence in the Large for Systems1.14. Further Results for Systems; 1.15. Notes and comments; Chapter 2. Shooting Type Methods; 2.0. Introduction; 2.1. Uniqueness Implies Existence; 2.2. General Linear Boundary Conditions; 2.3. Weaker Uniqueness Conditions; 2.4. Nonlinear Boundary Conditions; 2.5. Angular Function Technique; 2.6. Fundamental Lemmas; 2.7. Existence; 2.8. Uniqueness; 2.9. Estimation of Number of Solutions; 2.10. Existence of Infinite Number of Solutions; 2.11. Nonlinear Boundary Conditions; 2.12. Notes and Comments; Chapter 3. Topological Methods; 3.0. Introduction 3.1. Solution Funnels3.2. Application to Second-Order Equations; 3.3. Wazewski Retract Method; 3.4. Generalized Differential Equations; 3.5. Dependence of Solutions on Boundary Data; 3.6. Notes and Comments; Chapter 4. Functional Analytic Methods; 4.0. Introduction; 4.1. Linear Problems for Linear Systems; 4.2. Linear Problems for Nonlinear Systems; 4.3. Interpolation Problems; 4.4. Further Nonlinear Problems; 4.5. Generalized Spaces; 4.6. Integral Equations; 4.7. Application to Existence and Uniqueness; 4.8. Method of A Priori Estimates; 4.9. Bounds for Solutions in Admissible Subspaces 4.10. Leray Schauder's Alternative4.11. Application of Leray-Schauder's Alternative; 4.12. Periodic Boundary Conditions; 4.13. Set-Valued Mappings and Functional Equations; 4.14. General Linear Problems; 4.15. General Results for Set-Valued Mappings; 4.16. Set-Valued Differential Equations; 4.17. Notes and Comments; Chapter 5. Extensions to Functional Differential Equations; 5.0. Introduction; 5.1. Existence in the Small; 5.2. Existence in the Large; 5.3. Shooting Method; 5.4. Nonhomogeneous Linear Boundary Conditions; 5.5. Linear Problems; 5.6. Nonlinear Problems; 5.7. Degenerate Cases 5.8. Notes and CommentsChapter 6. Selected Topics; 6.0. Introduction; 6.1. Newton's Method; 6.2. The Goodman-Lance Method; 6.3. The Method of Quasilinearization; 6.4. Nonlinear Eigenvalue Problems; 6.5. n-Parameter Families and Interpolation Problems; 6.6. Notes and Comments; Bibliography; Additional Bibliography; Index English. Nonlinear boundary value problems. http://id.loc.gov/authorities/subjects/sh89000379 Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Boundary value problems. http://id.loc.gov/authorities/subjects/sh85016102 Problèmes aux limites. Théories non linéaires. Problèmes aux limites non linéaires. MATHEMATICS Differential Equations General. bisacsh Boundary value problems fast Nonlinear boundary value problems fast Nonlinear theories fast Lakshmikantham, V., 1926-2012. https://id.oclc.org/worldcat/entity/E39PBJh4xDkWxv4CWJ6trPKWXd has work: An introduction to nonlinear boundary value problems (Text) https://id.oclc.org/worldcat/entity/E39PCG3qy9kDR3Wb9xFQBKX3cd https://id.oclc.org/worldcat/ontology/hasWork Print version: Bernfeld, Stephen R. Introduction to nonlinear boundary value problems. New York : Academic Press, 1974 0120931508 9780120931507 (DLC) 73021996 (OCoLC)796948 Mathematics in science and engineering ; v. 109. http://id.loc.gov/authorities/names/n42015986 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297003 Volltext FWS01 ZDB-4-EBA FWS_PDA_EBA https://www.sciencedirect.com/science/bookseries/00765392/109 Volltext |
| spellingShingle | Bernfeld, Stephen R. An introduction to nonlinear boundary value problems / Mathematics in science and engineering ; Front Cover; An Introduction to Nonlinear Boundary Value Problems; Copyright Page; Contents; Preface; Acknowledgments; Chapter 1. Methods Involving Differential Inequalities; 1.0. Introduction; 1.1. Existencein the small; 1.2. Upper and Lower Solutions; 1.3. The Modified Function; 1.4. Nagumo's Condition; 1.5. Existence in the Large; 1.6. Lyapunov-Like Functions; 1.7. Existence on Infinite Intervals; 1.8. Super- and Subfunctions; 1.9. Properties of Subfunctions; 1.10. Perron's Method; 1.11. Modified Vector Function; 1.12. Nagumo's Condition (Continued) 1.13. Existence in the Large for Systems1.14. Further Results for Systems; 1.15. Notes and comments; Chapter 2. Shooting Type Methods; 2.0. Introduction; 2.1. Uniqueness Implies Existence; 2.2. General Linear Boundary Conditions; 2.3. Weaker Uniqueness Conditions; 2.4. Nonlinear Boundary Conditions; 2.5. Angular Function Technique; 2.6. Fundamental Lemmas; 2.7. Existence; 2.8. Uniqueness; 2.9. Estimation of Number of Solutions; 2.10. Existence of Infinite Number of Solutions; 2.11. Nonlinear Boundary Conditions; 2.12. Notes and Comments; Chapter 3. Topological Methods; 3.0. Introduction 3.1. Solution Funnels3.2. Application to Second-Order Equations; 3.3. Wazewski Retract Method; 3.4. Generalized Differential Equations; 3.5. Dependence of Solutions on Boundary Data; 3.6. Notes and Comments; Chapter 4. Functional Analytic Methods; 4.0. Introduction; 4.1. Linear Problems for Linear Systems; 4.2. Linear Problems for Nonlinear Systems; 4.3. Interpolation Problems; 4.4. Further Nonlinear Problems; 4.5. Generalized Spaces; 4.6. Integral Equations; 4.7. Application to Existence and Uniqueness; 4.8. Method of A Priori Estimates; 4.9. Bounds for Solutions in Admissible Subspaces 4.10. Leray Schauder's Alternative4.11. Application of Leray-Schauder's Alternative; 4.12. Periodic Boundary Conditions; 4.13. Set-Valued Mappings and Functional Equations; 4.14. General Linear Problems; 4.15. General Results for Set-Valued Mappings; 4.16. Set-Valued Differential Equations; 4.17. Notes and Comments; Chapter 5. Extensions to Functional Differential Equations; 5.0. Introduction; 5.1. Existence in the Small; 5.2. Existence in the Large; 5.3. Shooting Method; 5.4. Nonhomogeneous Linear Boundary Conditions; 5.5. Linear Problems; 5.6. Nonlinear Problems; 5.7. Degenerate Cases 5.8. Notes and CommentsChapter 6. Selected Topics; 6.0. Introduction; 6.1. Newton's Method; 6.2. The Goodman-Lance Method; 6.3. The Method of Quasilinearization; 6.4. Nonlinear Eigenvalue Problems; 6.5. n-Parameter Families and Interpolation Problems; 6.6. Notes and Comments; Bibliography; Additional Bibliography; Index Nonlinear boundary value problems. http://id.loc.gov/authorities/subjects/sh89000379 Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Boundary value problems. http://id.loc.gov/authorities/subjects/sh85016102 Problèmes aux limites. Théories non linéaires. Problèmes aux limites non linéaires. MATHEMATICS Differential Equations General. bisacsh Boundary value problems fast Nonlinear boundary value problems fast Nonlinear theories fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh89000379 http://id.loc.gov/authorities/subjects/sh85092332 http://id.loc.gov/authorities/subjects/sh85016102 |
| title | An introduction to nonlinear boundary value problems / |
| title_auth | An introduction to nonlinear boundary value problems / |
| title_exact_search | An introduction to nonlinear boundary value problems / |
| title_full | An introduction to nonlinear boundary value problems / Stephen R. Bernfeld, V. Lakshmikantham. |
| title_fullStr | An introduction to nonlinear boundary value problems / Stephen R. Bernfeld, V. Lakshmikantham. |
| title_full_unstemmed | An introduction to nonlinear boundary value problems / Stephen R. Bernfeld, V. Lakshmikantham. |
| title_short | An introduction to nonlinear boundary value problems / |
| title_sort | introduction to nonlinear boundary value problems |
| topic | Nonlinear boundary value problems. http://id.loc.gov/authorities/subjects/sh89000379 Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Boundary value problems. http://id.loc.gov/authorities/subjects/sh85016102 Problèmes aux limites. Théories non linéaires. Problèmes aux limites non linéaires. MATHEMATICS Differential Equations General. bisacsh Boundary value problems fast Nonlinear boundary value problems fast Nonlinear theories fast |
| topic_facet | Nonlinear boundary value problems. Nonlinear theories. Boundary value problems. Problèmes aux limites. Théories non linéaires. Problèmes aux limites non linéaires. MATHEMATICS Differential Equations General. Boundary value problems Nonlinear boundary value problems Nonlinear theories |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297003 https://www.sciencedirect.com/science/bookseries/00765392/109 |
| work_keys_str_mv | AT bernfeldstephenr anintroductiontononlinearboundaryvalueproblems AT lakshmikanthamv anintroductiontononlinearboundaryvalueproblems AT bernfeldstephenr introductiontononlinearboundaryvalueproblems AT lakshmikanthamv introductiontononlinearboundaryvalueproblems |