| Title:
|
On $\omega$-limit sets of nonautonomous differential equations (English) |
| Author:
|
Klebanov, Boris S. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
2 |
| Year:
|
1994 |
| Pages:
|
267-281 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper the $\omega$-limit behaviour of trajectories of solutions of ordinary differential equations is studied by methods of an axiomatic theory of solution spaces. We prove, under very general assumptions, semi-invariance of $\omega$-limit sets and a Poincar'{e}-Bendixon type theorem. (English) |
| Keyword:
|
$\omega$-limit sets |
| Keyword:
|
stationary points |
| Keyword:
|
the Poincar'{e}-Bendixon theorem |
| MSC:
|
34A34 |
| MSC:
|
34C05 |
| MSC:
|
34C11 |
| MSC:
|
34C99 |
| MSC:
|
34D05 |
| idZBL:
|
Zbl 0809.34042 |
| idMR:
|
MR1286574 |
| . |
| Date available:
|
2009-01-08T18:10:55Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118666 |
| . |
| 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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| . |
