| Title:
|
Ultimate boundedness of some third order ordinary differential equations (English) |
| Author:
|
Afuwape, Anthony Uyi |
| Author:
|
Omeike, M. O. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
137 |
| Issue:
|
3 |
| Year:
|
2012 |
| Pages:
|
355-364 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove the ultimate boundedness of solutions of some third order nonlinear ordinary differential equations using the Lyapunov method. The results obtained generalize earlier results of Ezeilo, Tejumola, Reissig, Tunç and others. The Lyapunov function used does not involve the use of signum functions as used by others. (English) |
| Keyword:
|
ultimate boundedness |
| Keyword:
|
complete Lyapunov function |
| Keyword:
|
differential equation of third-order |
| MSC:
|
34C11 |
| MSC:
|
34K20 |
| MSC:
|
37B25 |
| idZBL:
|
Zbl 1265.34134 |
| idMR:
|
MR3112493 |
| DOI:
|
10.21136/MB.2012.142900 |
| . |
| Date available:
|
2012-08-19T21:35:40Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142900 |
| . |
| 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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|
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