| Title:
|
Asymptotic estimation of the convergence of solutions of the equation $\dot x(t)=b(t) x(t-\tau (t))$ (English) |
| Author:
|
Diblík, Josef |
| Author:
|
Khusainov, Denys |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
37 |
| Issue:
|
4 |
| Year:
|
2001 |
| Pages:
|
279-287 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The main result of the present paper is obtaining new inequalities for solutions of scalar equation $\dot{x}(t)=b(t)x(t-\tau (t))$. Except this the interval of transient process is computed, i.e. the time is estimated, during which the given solution $x(t)$ reaches an $\varepsilon $ - neighbourhood of origin and remains in it. (English) |
| Keyword:
|
stability of trivial solution |
| Keyword:
|
estimation of convergence of nontrivial solutions |
| MSC:
|
34K20 |
| MSC:
|
34K25 |
| idZBL:
|
Zbl 1090.34059 |
| idMR:
|
MR1879450 |
| . |
| Date available:
|
2008-06-06T22:29:08Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107805 |
| . |
| 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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| . |
