| Title:
|
Stability and Boundedness of Solutions of Some Third-order Nonlinear Vector Delay Differential Equation (English) |
| Author:
|
Fatmi, Larbi |
| Author:
|
Remili, Moussadek |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
55 |
| Issue:
|
2 |
| Year:
|
2016 |
| Pages:
|
71-86 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper investigates the stability of the zero solution and uniformly boundedness and uniformly ultimately boundedness of all solutions of a certain vector differential equation of the third order with delay. Using the Lyapunov–Krasovskiĭ functional approach, we obtain a new result on the topic and give an example for the related illustrations. (English) |
| Keyword:
|
Lyapunov functional |
| Keyword:
|
third-order vector delay differential equation |
| Keyword:
|
boundedness |
| Keyword:
|
stability |
| MSC:
|
34K20 |
| idZBL:
|
Zbl 1370.34129 |
| . |
| Date available:
|
2017-03-16T12:43:19Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146062 |
| . |
| Reference:
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