Nonlinear interpolation and boundary value problems:
Uniqueness implies uniqueness -- Uniqueness implies existence -- Nonlocal boundary value problems: uniqueness and existence -- Boundary value problems for finite difference equations -- Boundary value problems for dynamic equations on time scales
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2016]
|
| Schriftenreihe: | Trends in abstract and applied analysis
Volume 2 |
| Schlagworte: | |
| Zusammenfassung: | Uniqueness implies uniqueness -- Uniqueness implies existence -- Nonlocal boundary value problems: uniqueness and existence -- Boundary value problems for finite difference equations -- Boundary value problems for dynamic equations on time scales "This book is devoted to the study of solutions of nonlinear ODE boundary value problems as nonlinear interpolation problems. In 1967, Lasota and Opial showed that, under suitable hypotheses, if solutions of a second-order nonlinear differential equation passing through two distinct points are unique, when they exist, then, in fact, a solution passing through two distinct points does exist. That result, coupled with the pioneering work of Philip Hartman on what was then called unrestricted n-parameter families has stimulated 50 years of rapid development in the study of solutions of boundary value problems as nonlinear interpolation problems. The purpose of this book is two-fold. First, the results that have been generated in the past 50 years are collected for the first time to produce a comprehensive and coherent treatment of what is now a well-defined area of study in the qualitative theory of ordinary differential equations. Second, methods and technical tools are sufficiently exposed so that the interested reader can contribute to the study of nonlinear interpolation"-- |
| Beschreibung: | Literaturverzeichnis Seite 227-233 |
| Beschreibung: | xii, 236 Seiten |
| ISBN: | 9789814733472 9814733474 |
Internformat
MARC
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| 100 | 1 | |a Eloe, Paul W. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Nonlinear interpolation and boundary value problems |c Paul W. Eloe (University of Dayton, USA), Johnny Henderson (Baylor University, USA) |
| 264 | 1 | |a New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo |b World Scientific |c [2016] | |
| 300 | |a xii, 236 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Trends in abstract and applied analysis |v Volume 2 | |
| 500 | |a Literaturverzeichnis Seite 227-233 | ||
| 520 | 1 | |a Uniqueness implies uniqueness -- Uniqueness implies existence -- Nonlocal boundary value problems: uniqueness and existence -- Boundary value problems for finite difference equations -- Boundary value problems for dynamic equations on time scales | |
| 520 | 8 | |a "This book is devoted to the study of solutions of nonlinear ODE boundary value problems as nonlinear interpolation problems. In 1967, Lasota and Opial showed that, under suitable hypotheses, if solutions of a second-order nonlinear differential equation passing through two distinct points are unique, when they exist, then, in fact, a solution passing through two distinct points does exist. That result, coupled with the pioneering work of Philip Hartman on what was then called unrestricted n-parameter families has stimulated 50 years of rapid development in the study of solutions of boundary value problems as nonlinear interpolation problems. The purpose of this book is two-fold. First, the results that have been generated in the past 50 years are collected for the first time to produce a comprehensive and coherent treatment of what is now a well-defined area of study in the qualitative theory of ordinary differential equations. Second, methods and technical tools are sufficiently exposed so that the interested reader can contribute to the study of nonlinear interpolation"-- | |
| 650 | 4 | |a aBoundary value problems | |
| 650 | 4 | |a aDifferential equations | |
| 650 | 0 | 7 | |a Interpolation |0 (DE-588)4162121-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Randwertproblem |0 (DE-588)4048395-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineare gewöhnliche Differentialgleichung |0 (DE-588)4478411-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nichtlineare gewöhnliche Differentialgleichung |0 (DE-588)4478411-9 |D s |
| 689 | 0 | 1 | |a Randwertproblem |0 (DE-588)4048395-2 |D s |
| 689 | 0 | 2 | |a Interpolation |0 (DE-588)4162121-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Henderson, Johnny |e Sonstige |0 (DE-588)170788350 |4 oth | |
| 830 | 0 | |a Trends in abstract and applied analysis |v Volume 2 |w (DE-604)BV043530503 |9 2 | |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Eloe, Paul W. |
| author_GND | (DE-588)170788350 |
| author_facet | Eloe, Paul W. |
| author_role | aut |
| author_sort | Eloe, Paul W. |
| author_variant | p w e pw pwe |
| building | Verbundindex |
| bvnumber | BV043530507 |
| callnumber-first | Q - Science |
| callnumber-label | QA379 |
| callnumber-raw | QA379 |
| callnumber-search | QA379 |
| callnumber-sort | QA 3379 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 500 |
| classification_tum | MAT 342f |
| ctrlnum | (OCoLC)934052658 (DE-599)GBV840756305 |
| 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 | Book |
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| id | DE-604.BV043530507 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:28:07Z |
| institution | BVB |
| isbn | 9789814733472 9814733474 |
| language | English |
| lccn | 2015040530 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028946217 |
| oclc_num | 934052658 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-384 |
| owner_facet | DE-91G DE-BY-TUM DE-384 |
| physical | xii, 236 Seiten |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | World Scientific |
| record_format | marc |
| series | Trends in abstract and applied analysis |
| series2 | Trends in abstract and applied analysis |
| spelling | Eloe, Paul W. Verfasser aut Nonlinear interpolation and boundary value problems Paul W. Eloe (University of Dayton, USA), Johnny Henderson (Baylor University, USA) New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo World Scientific [2016] xii, 236 Seiten txt rdacontent n rdamedia nc rdacarrier Trends in abstract and applied analysis Volume 2 Literaturverzeichnis Seite 227-233 Uniqueness implies uniqueness -- Uniqueness implies existence -- Nonlocal boundary value problems: uniqueness and existence -- Boundary value problems for finite difference equations -- Boundary value problems for dynamic equations on time scales "This book is devoted to the study of solutions of nonlinear ODE boundary value problems as nonlinear interpolation problems. In 1967, Lasota and Opial showed that, under suitable hypotheses, if solutions of a second-order nonlinear differential equation passing through two distinct points are unique, when they exist, then, in fact, a solution passing through two distinct points does exist. That result, coupled with the pioneering work of Philip Hartman on what was then called unrestricted n-parameter families has stimulated 50 years of rapid development in the study of solutions of boundary value problems as nonlinear interpolation problems. The purpose of this book is two-fold. First, the results that have been generated in the past 50 years are collected for the first time to produce a comprehensive and coherent treatment of what is now a well-defined area of study in the qualitative theory of ordinary differential equations. Second, methods and technical tools are sufficiently exposed so that the interested reader can contribute to the study of nonlinear interpolation"-- aBoundary value problems aDifferential equations Interpolation (DE-588)4162121-9 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Nichtlineare gewöhnliche Differentialgleichung (DE-588)4478411-9 gnd rswk-swf Nichtlineare gewöhnliche Differentialgleichung (DE-588)4478411-9 s Randwertproblem (DE-588)4048395-2 s Interpolation (DE-588)4162121-9 s DE-604 Henderson, Johnny Sonstige (DE-588)170788350 oth Trends in abstract and applied analysis Volume 2 (DE-604)BV043530503 2 |
| spellingShingle | Eloe, Paul W. Nonlinear interpolation and boundary value problems Trends in abstract and applied analysis aBoundary value problems aDifferential equations Interpolation (DE-588)4162121-9 gnd Randwertproblem (DE-588)4048395-2 gnd Nichtlineare gewöhnliche Differentialgleichung (DE-588)4478411-9 gnd |
| subject_GND | (DE-588)4162121-9 (DE-588)4048395-2 (DE-588)4478411-9 |
| title | Nonlinear interpolation and boundary value problems |
| title_auth | Nonlinear interpolation and boundary value problems |
| title_exact_search | Nonlinear interpolation and boundary value problems |
| title_full | Nonlinear interpolation and boundary value problems Paul W. Eloe (University of Dayton, USA), Johnny Henderson (Baylor University, USA) |
| title_fullStr | Nonlinear interpolation and boundary value problems Paul W. Eloe (University of Dayton, USA), Johnny Henderson (Baylor University, USA) |
| title_full_unstemmed | Nonlinear interpolation and boundary value problems Paul W. Eloe (University of Dayton, USA), Johnny Henderson (Baylor University, USA) |
| title_short | Nonlinear interpolation and boundary value problems |
| title_sort | nonlinear interpolation and boundary value problems |
| topic | aBoundary value problems aDifferential equations Interpolation (DE-588)4162121-9 gnd Randwertproblem (DE-588)4048395-2 gnd Nichtlineare gewöhnliche Differentialgleichung (DE-588)4478411-9 gnd |
| topic_facet | aBoundary value problems aDifferential equations Interpolation Randwertproblem Nichtlineare gewöhnliche Differentialgleichung |
| volume_link | (DE-604)BV043530503 |
| work_keys_str_mv | AT eloepaulw nonlinearinterpolationandboundaryvalueproblems AT hendersonjohnny nonlinearinterpolationandboundaryvalueproblems |