Differential and Integral Inequalities:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1970
|
| Schriftenreihe: | Ergebnisse der Mathematik und ihrer Grenzgebiete
55 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In 1964 the author's mono graph "Differential- und Integral-Un gleichungen," with the subtitle "und ihre Anwendung bei Abschätzungs und Eindeutigkeitsproblemen" was published. The present volume grew out of the response to the demand for an English translation of this book. In the meantime the literature on differential and integral in equalities increased greatly. We have tried to incorporate new results as far as possible. As a matter of fact, the Bibliography has been almost doubled in size. The most substantial additions are in the field of existence theory. In Chapter I we have included the basic theorems on Volterra integral equations in Banach space (covering the case of ordinary differential equations in Banach space). Corresponding theorems on differential inequalities have been added in Chapter II. This was done with a view to the new sections; dealing with the line method, in the chapter on parabolic differential equations. Section 35 contains an exposition of this method in connection with estimation and convergence. An existence theory for the general nonlinear parabolic equation in one space variable based on the line method is given in Section 36. This theory is considered by the author as one of the most significant recent applications of in equality methods. We should mention that an exposition of Krzyzanski's method for solving the Cauchy problem has also been added. The numerous requests that the new edition include a chapter on elliptic differential equations have been satisfied to some extent |
| Beschreibung: | 1 Online-Ressource (X, 354 p.) 14 illus |
| ISBN: | 9783642864056 9783642864070 |
| ISSN: | 0071-1136 |
| DOI: | 10.1007/978-3-642-86405-6 |
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Datensatz im Suchindex
| _version_ | 1804153098383392768 |
|---|---|
| any_adam_object | |
| author | Walter, Wolfgang |
| author_facet | Walter, Wolfgang |
| author_role | aut |
| author_sort | Walter, Wolfgang |
| author_variant | w w ww |
| building | Verbundindex |
| bvnumber | BV042423060 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184486753 (DE-599)BVBBV042423060 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-86405-6 |
| format | Electronic eBook |
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| id | DE-604.BV042423060 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783642864056 9783642864070 |
| issn | 0071-1136 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858477 |
| oclc_num | 1184486753 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (X, 354 p.) 14 illus |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1970 |
| publishDateSearch | 1970 |
| publishDateSort | 1970 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Ergebnisse der Mathematik und ihrer Grenzgebiete |
| spelling | Walter, Wolfgang Verfasser aut Differential and Integral Inequalities by Wolfgang Walter Berlin, Heidelberg Springer Berlin Heidelberg 1970 1 Online-Ressource (X, 354 p.) 14 illus txt rdacontent c rdamedia cr rdacarrier Ergebnisse der Mathematik und ihrer Grenzgebiete 55 0071-1136 In 1964 the author's mono graph "Differential- und Integral-Un gleichungen," with the subtitle "und ihre Anwendung bei Abschätzungs und Eindeutigkeitsproblemen" was published. The present volume grew out of the response to the demand for an English translation of this book. In the meantime the literature on differential and integral in equalities increased greatly. We have tried to incorporate new results as far as possible. As a matter of fact, the Bibliography has been almost doubled in size. The most substantial additions are in the field of existence theory. In Chapter I we have included the basic theorems on Volterra integral equations in Banach space (covering the case of ordinary differential equations in Banach space). Corresponding theorems on differential inequalities have been added in Chapter II. This was done with a view to the new sections; dealing with the line method, in the chapter on parabolic differential equations. Section 35 contains an exposition of this method in connection with estimation and convergence. An existence theory for the general nonlinear parabolic equation in one space variable based on the line method is given in Section 36. This theory is considered by the author as one of the most significant recent applications of in equality methods. We should mention that an exposition of Krzyzanski's method for solving the Cauchy problem has also been added. The numerous requests that the new edition include a chapter on elliptic differential equations have been satisfied to some extent Mathematics Mathematics, general Mathematik Integralgleichung (DE-588)4027229-1 gnd rswk-swf Eindeutigkeit (DE-588)4151249-2 gnd rswk-swf Abschätzung (DE-588)4304375-6 gnd rswk-swf Integralungleichung (DE-588)4161917-1 gnd rswk-swf Differentialungleichung (DE-588)4149785-5 gnd rswk-swf Ungleichung (DE-588)4139098-2 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Integralungleichung (DE-588)4161917-1 s Eindeutigkeit (DE-588)4151249-2 s 1\p DE-604 Abschätzung (DE-588)4304375-6 s 2\p DE-604 Differentialungleichung (DE-588)4149785-5 s 3\p DE-604 4\p DE-604 5\p DE-604 Differentialgleichung (DE-588)4012249-9 s 6\p DE-604 Integralgleichung (DE-588)4027229-1 s 7\p DE-604 Ungleichung (DE-588)4139098-2 s 8\p DE-604 https://doi.org/10.1007/978-3-642-86405-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 7\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 8\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Walter, Wolfgang Differential and Integral Inequalities Mathematics Mathematics, general Mathematik Integralgleichung (DE-588)4027229-1 gnd Eindeutigkeit (DE-588)4151249-2 gnd Abschätzung (DE-588)4304375-6 gnd Integralungleichung (DE-588)4161917-1 gnd Differentialungleichung (DE-588)4149785-5 gnd Ungleichung (DE-588)4139098-2 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4027229-1 (DE-588)4151249-2 (DE-588)4304375-6 (DE-588)4161917-1 (DE-588)4149785-5 (DE-588)4139098-2 (DE-588)4012249-9 |
| title | Differential and Integral Inequalities |
| title_auth | Differential and Integral Inequalities |
| title_exact_search | Differential and Integral Inequalities |
| title_full | Differential and Integral Inequalities by Wolfgang Walter |
| title_fullStr | Differential and Integral Inequalities by Wolfgang Walter |
| title_full_unstemmed | Differential and Integral Inequalities by Wolfgang Walter |
| title_short | Differential and Integral Inequalities |
| title_sort | differential and integral inequalities |
| topic | Mathematics Mathematics, general Mathematik Integralgleichung (DE-588)4027229-1 gnd Eindeutigkeit (DE-588)4151249-2 gnd Abschätzung (DE-588)4304375-6 gnd Integralungleichung (DE-588)4161917-1 gnd Differentialungleichung (DE-588)4149785-5 gnd Ungleichung (DE-588)4139098-2 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Integralgleichung Eindeutigkeit Abschätzung Integralungleichung Differentialungleichung Ungleichung Differentialgleichung |
| url | https://doi.org/10.1007/978-3-642-86405-6 |
| work_keys_str_mv | AT walterwolfgang differentialandintegralinequalities |