| Title:
|
Remarks on generalized solutions of ordinary linear differential equations in the Colombeau algebra (English) |
| Author:
|
Ligęza, Jan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
123 |
| Issue:
|
3 |
| Year:
|
1998 |
| Pages:
|
301-316 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper first order linear ordinary differential equations are considered. It is shown that the Cauchy problem for these systems has a unique solution in $ {\Cal G}^n (\Bbb R) $, where $ {\Cal G} (\Bbb R) $ denotes the Colombeau algebra. (English) |
| Keyword:
|
generalized ordinary differential equations |
| Keyword:
|
Cauchy problem |
| Keyword:
|
distributions |
| Keyword:
|
Colombeau algebra |
| MSC:
|
34A10 |
| MSC:
|
34A12 |
| MSC:
|
34A30 |
| MSC:
|
46F10 |
| MSC:
|
46F99 |
| idZBL:
|
Zbl 0937.34003 |
| idMR:
|
MR1645454 |
| DOI:
|
10.21136/MB.1998.126067 |
| . |
| Date available:
|
2009-09-24T21:32:32Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126067 |
| . |
| 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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| Reference:
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| Reference:
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| Reference:
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| . |
