Nonlinear Integral Equations in Abstract Spaces:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Boston, MA
Springer US
1996
|
| Schriftenreihe: | Mathematics and Its Applications
373 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-1-4613-1281-9 |
| Beschreibung: | Many problems arising in the physical sciences, engineering, biology and ap plied mathematics lead to mathematical models described by nonlinear integral equations in abstract spaces. The theory of nonlinear integral equations in abstract spaces is a fast growing field with important applications to a number of areas of analysis as well as other branches of science. This book is devoted to a comprehensive treatment of nonlinear integral equations in abstract spaces. It is the first book that is dedicated to a systematic development of this subject, and it includes the developments during recent years. Chapter 1 introduces some basic results in analysis, which will be used in later chapters. Chapter 2, which is a main portion of this book, deals with nonlinear integral equations in Banach spaces, including equations of Fredholm type, of Volterra type and equations of Hammerstein type. Some applications equations to nonlinear differential equations in Banach spaces are given. We also discuss an integral equation modelling infectious disease as a typical application. In Chapter 3, we investigate the first order and second order nonlinear integro-differential equations in Banach spaces including equations of Volterra type and equations of mixed type. Chapter 4 is devoted to nonlinear impulsive integral equations in Banach spaces and their applications to nonlinear impulsive differential equations in Banach spaces |
| Umfang: | 1 Online-Ressource (VIII, 344 p) |
| ISBN: | 9781461312819 9781461285472 |
| DOI: | 10.1007/978-1-4613-1281-9 |
Internformat
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| 245 | 1 | 0 | |a Nonlinear Integral Equations in Abstract Spaces |c by Dajun Guo, V. Lakshmikantham, Xinzhi Liu |
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| 300 | |a 1 Online-Ressource (VIII, 344 p) | ||
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| 490 | 1 | |a Mathematics and Its Applications |v 373 | |
| 500 | |a Many problems arising in the physical sciences, engineering, biology and ap plied mathematics lead to mathematical models described by nonlinear integral equations in abstract spaces. The theory of nonlinear integral equations in abstract spaces is a fast growing field with important applications to a number of areas of analysis as well as other branches of science. This book is devoted to a comprehensive treatment of nonlinear integral equations in abstract spaces. It is the first book that is dedicated to a systematic development of this subject, and it includes the developments during recent years. Chapter 1 introduces some basic results in analysis, which will be used in later chapters. Chapter 2, which is a main portion of this book, deals with nonlinear integral equations in Banach spaces, including equations of Fredholm type, of Volterra type and equations of Hammerstein type. Some applications equations to nonlinear differential equations in Banach spaces are given. We also discuss an integral equation modelling infectious disease as a typical application. In Chapter 3, we investigate the first order and second order nonlinear integro-differential equations in Banach spaces including equations of Volterra type and equations of mixed type. Chapter 4 is devoted to nonlinear impulsive integral equations in Banach spaces and their applications to nonlinear impulsive differential equations in Banach spaces | ||
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Datensatz im Suchindex
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| id | DE-604.BV042420609 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:43Z |
| institution | BVB |
| isbn | 9781461312819 9781461285472 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856026 |
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| physical | 1 Online-Ressource (VIII, 344 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer US |
| record_format | marc |
| series | Mathematics and Its Applications |
| series2 | Mathematics and Its Applications |
| spellingShingle | Guo, Dajun Nonlinear Integral Equations in Abstract Spaces Mathematics and Its Applications Mathematics Functional analysis Integral equations Operator theory Differential Equations Integral Equations Ordinary Differential Equations Functional Analysis Operator Theory Mathematik Banach-Raum (DE-588)4004402-6 gnd Nichtlineare Integralgleichung (DE-588)4240925-1 gnd |
| subject_GND | (DE-588)4004402-6 (DE-588)4240925-1 |
| title | Nonlinear Integral Equations in Abstract Spaces |
| title_auth | Nonlinear Integral Equations in Abstract Spaces |
| title_exact_search | Nonlinear Integral Equations in Abstract Spaces |
| title_full | Nonlinear Integral Equations in Abstract Spaces by Dajun Guo, V. Lakshmikantham, Xinzhi Liu |
| title_fullStr | Nonlinear Integral Equations in Abstract Spaces by Dajun Guo, V. Lakshmikantham, Xinzhi Liu |
| title_full_unstemmed | Nonlinear Integral Equations in Abstract Spaces by Dajun Guo, V. Lakshmikantham, Xinzhi Liu |
| title_short | Nonlinear Integral Equations in Abstract Spaces |
| title_sort | nonlinear integral equations in abstract spaces |
| topic | Mathematics Functional analysis Integral equations Operator theory Differential Equations Integral Equations Ordinary Differential Equations Functional Analysis Operator Theory Mathematik Banach-Raum (DE-588)4004402-6 gnd Nichtlineare Integralgleichung (DE-588)4240925-1 gnd |
| topic_facet | Mathematics Functional analysis Integral equations Operator theory Differential Equations Integral Equations Ordinary Differential Equations Functional Analysis Operator Theory Mathematik Banach-Raum Nichtlineare Integralgleichung |
| url | https://doi.org/10.1007/978-1-4613-1281-9 |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT guodajun nonlinearintegralequationsinabstractspaces AT lakshmikanthamv nonlinearintegralequationsinabstractspaces AT liuxinzhi nonlinearintegralequationsinabstractspaces |