| Title:
|
Ultimate boundedness results for a certain third order nonlinear matrix differential equations (English) |
| Author:
|
Omeike, M. O. |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
46 |
| Issue:
|
1 |
| Year:
|
2007 |
| Pages:
|
65-73 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper extends some known results on the boundedness of solutions and the existence of periodic solutions of certain vector equations to matrix equations. (English) |
| Keyword:
|
matrix differential equation |
| Keyword:
|
Lyapunov function |
| Keyword:
|
boundedness |
| MSC:
|
34C11 |
| MSC:
|
34C25 |
| MSC:
|
34D20 |
| MSC:
|
34D40 |
| idZBL:
|
Zbl 1151.34044 |
| idMR:
|
MR2387494 |
| . |
| Date available:
|
2009-08-27T10:42:06Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133387 |
| . |
| Reference:
|
[1] Fišerová E., Kubáček L., Kunderová P.: Linear Statistical Models: Regularity, Singularities. : Academia, Praha., in preparation. |
| Reference:
|
[2] Kubáček L.: Foundations of estimation theory. : Elsevier, Amsterdam, Oxford, New York, Tokyo., 1988. MR 0995671 |
| Reference:
|
[3] Kubáček L., Kubáčková L., Volaufová J.: Statistical Models with Linear Structures. : Veda, Publishing House of the Slovak Academy of Sciences, Bratislava., 1995. |
| Reference:
|
[4] Kubáček L., Kubáčková L.: Statistika a metrologie. : Vydavatelství UP, Olomouc., 2000. |
| Reference:
|
[5] Kunderová P.: Regular linear model with the nuisance parameters with constraints of the type I.Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 40 (2001), 151–159. Zbl 1039.62062, MR 1904691 |
| Reference:
|
[6] Kunderová P.: Eliminating transformations for nuisance parameters in linear model.Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 42 (2003), 59–68. Zbl 1046.62069, MR 2056022 |
| Reference:
|
[7] Nordström K., Fellman J.: Characterizations and dispersion-matrix robustness of efficiently estimable parametric functionals in linear models with nuisance parameters.Linear Algebra and its Applications 127 (1990), 341–361. Zbl 0709.62063, MR 1048807 |
| . |
