| Title:
|
A note on existence theorem of Peano (English) |
| Author:
|
Zubelevich, Oleg |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
47 |
| Issue:
|
2 |
| Year:
|
2011 |
| Pages:
|
83-89 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
An ODE with non-Lipschitz right hand side has been considered. A family of solutions with $L^p$-dependence of the initial data has been obtained. A special set of initial data has been constructed. In this set the family is continuous. The measure of this set has been estimated. (English) |
| Keyword:
|
Peano existence theorem |
| Keyword:
|
non-Lipschitz nonlinearity |
| Keyword:
|
non-uniqueness |
| Keyword:
|
IVP |
| Keyword:
|
ODE |
| Keyword:
|
Cauchy problem |
| MSC:
|
34A12 |
| idZBL:
|
Zbl 1249.34023 |
| idMR:
|
MR2813534 |
| . |
| Date available:
|
2011-06-06T14:38:13Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141557 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
