Generalized ordinary differential equations:
The contemporary approach of J. Kurzweil and R. Henstock to the Perron integral is applied to the theory of ordinary differential equations in this book. It focuses mainly on the problems of continuous dependence on parameters for ordinary differential equations. For this purpose, a generalized form...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c1992
|
| Series: | Series in real analysis
v. 5 |
| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | The contemporary approach of J. Kurzweil and R. Henstock to the Perron integral is applied to the theory of ordinary differential equations in this book. It focuses mainly on the problems of continuous dependence on parameters for ordinary differential equations. For this purpose, a generalized form of the integral based on integral sums is defined. The theory of generalized differential equations based on this integral is then used, for example, to cover differential equations with impulses or measure differential equations. Solutions of generalized differential equations are found to be functions of bounded variations. The book may be used for a special undergraduate course in mathematics or as a postgraduate text. As there are currently no other special research monographs or textbooks on this topic in English, this book is an invaluable reference text for those interested in this field |
| Physical Description: | ix, 382 p |
| ISBN: | 9789814354646 |
Staff View
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| id | DE-604.BV044638552 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:53Z |
| institution | BVB |
| isbn | 9789814354646 |
| language | English |
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| physical | ix, 382 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| series2 | Series in real analysis |
| spelling | Schwabik, Štefan 1941- Verfasser aut Generalized ordinary differential equations Štefan Schwabik Singapore World Scientific Pub. Co. c1992 ix, 382 p txt rdacontent c rdamedia cr rdacarrier Series in real analysis v. 5 The contemporary approach of J. Kurzweil and R. Henstock to the Perron integral is applied to the theory of ordinary differential equations in this book. It focuses mainly on the problems of continuous dependence on parameters for ordinary differential equations. For this purpose, a generalized form of the integral based on integral sums is defined. The theory of generalized differential equations based on this integral is then used, for example, to cover differential equations with impulses or measure differential equations. Solutions of generalized differential equations are found to be functions of bounded variations. The book may be used for a special undergraduate course in mathematics or as a postgraduate text. As there are currently no other special research monographs or textbooks on this topic in English, this book is an invaluable reference text for those interested in this field Differential equations Integral equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Verallgemeinerte Differentialgleichung (DE-588)4187509-6 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Verallgemeinerte Differentialgleichung (DE-588)4187509-6 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789810212254 Erscheint auch als Druck-Ausgabe 9810212259 http://www.worldscientific.com/worldscibooks/10.1142/1875#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schwabik, Štefan 1941- Generalized ordinary differential equations Differential equations Integral equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Verallgemeinerte Differentialgleichung (DE-588)4187509-6 gnd |
| subject_GND | (DE-588)4020929-5 (DE-588)4187509-6 |
| title | Generalized ordinary differential equations |
| title_auth | Generalized ordinary differential equations |
| title_exact_search | Generalized ordinary differential equations |
| title_full | Generalized ordinary differential equations Štefan Schwabik |
| title_fullStr | Generalized ordinary differential equations Štefan Schwabik |
| title_full_unstemmed | Generalized ordinary differential equations Štefan Schwabik |
| title_short | Generalized ordinary differential equations |
| title_sort | generalized ordinary differential equations |
| topic | Differential equations Integral equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Verallgemeinerte Differentialgleichung (DE-588)4187509-6 gnd |
| topic_facet | Differential equations Integral equations Gewöhnliche Differentialgleichung Verallgemeinerte Differentialgleichung |
| url | http://www.worldscientific.com/worldscibooks/10.1142/1875#t=toc |
| work_keys_str_mv | AT schwabikstefan generalizedordinarydifferentialequations |