| Title:
|
New result on the ultimate boundedness of solutions of certain third-order vector differential equations (English) |
| Author:
|
Omeike, M. O. |
| Author:
|
Afuwape, A. U. |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
49 |
| Issue:
|
1 |
| Year:
|
2010 |
| Pages:
|
55-61 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Sufficient conditions are established for ultimate boundedness of solutions of certain nonlinear vector differential equations of third-order. Our result improves on Tunc’s [C. Tunc, On the stability and boundedness of solutions of nonlinear vector differential equations of third order]. (English) |
| Keyword:
|
Ultimate boundedness |
| Keyword:
|
Lyapunov function |
| Keyword:
|
differential equation of third order |
| MSC:
|
34B15 |
| MSC:
|
34C11 |
| idZBL:
|
Zbl 1237.34045 |
| idMR:
|
MR2797523 |
| Note:
|
Supported by Universidad de Antioquia CODI grant # IN 568 CE. (English) |
| . |
| Date available:
|
2010-09-13T06:56:19Z |
| Last updated:
|
2013-09-18 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140737 |
| . |
| Reference:
|
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| Reference:
|
[2] Afuwape, A. U.: Further ultimate boundedness results for a third-order nonlinear system of differential equations.Analisi Funzionale e Appl. 6 (1985), 99–100, N.I. 348–360. MR 0805225 |
| Reference:
|
[3] Afuwape, A. U., Omeike, M. O.: Further ultimate boundedness of solutions of some system of third-order nonlinear ordinary differential equations.Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 43 (2004), 7–20. MR 2124598 |
| 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:
|
[20] Tunc, C., Ates, M.: Stability and boundedness results for solutions of certain third order nonlinear vector differential equations.Nonlinear Dynam. 45, 3-4 (2006), 273–281. Zbl 1132.34328, MR 2250136, 10.1007/s11071-006-1437-3 |
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