| Title:
|
On the stability of the solutions of certain fifth order non-autonomous differential equations (English) |
| Author:
|
Sadek, A. I. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
41 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
93-106 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Our aim in this paper is to present sufficient conditions under which all solutions of (1.1) tend to zero as $t \rightarrow \infty $. (English) |
| Keyword:
|
asymptotic stability |
| Keyword:
|
Lyapunov function |
| Keyword:
|
nonautonomous differential equations of fifth order |
| MSC:
|
34D05 |
| MSC:
|
34D20 |
| idZBL:
|
Zbl 1117.34050 |
| idMR:
|
MR2142145 |
| . |
| Date available:
|
2008-06-06T22:45:14Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107937 |
| . |
| Reference:
|
[1] Abou-El-Ela, A. M. A. and Sadek, A. I.: On complete stability of the solutions of non-linear differential equations of the fifth-order.Proc. of Assiut First Intern. Conf. Part V (1990), 14–25. |
| Reference:
|
[2] Abou-El-Ela, A. M. A. and Sadek, A. I.: On the asymptotic behaviour of solutions of certain non-autonomous differential equations.J. Math. Anal. Appl. 237 (1999), 360–375. MR 1708179 |
| Reference:
|
[3] Chukwu, E. N.: On the boundedness and stability of some differential equations of the fifth-order.Siam J. Math. Anal. 7(2) (1976), 176–194. MR 0425274 |
| Reference:
|
[4] Hara, T.: On the stability of solutions of certain third order ordinary differential equation.Proc. Japan Acad. 47 (1971), 897–902. MR 0313598 |
| Reference:
|
[5] Swich, K. E.: On the boundedness and the stability of solutions of some differential equations of the third order.J. London Math. Soc. 44 (1969), 347–359. MR 0236482 |
| Reference:
|
[6] Tiryaki, A. and Tunc, C.: On the boundedness and the stability properties for the solutions of certain fifth order differential equations.Hacet. Bull. Nat. Sci. Eng. Ser. B, 25 (1996), 53–68. MR 1465133 |
| Reference:
|
[7] Tunc, C.: On the boundedness and the stability results for the solutions of certain fifth order differential equations.Istambul. Univ. Fen Fak. Mat. Derg. 54 (1997), 151–160. MR 1608171 |
| Reference:
|
[8] Yamamoto, M.: On the stability of solutions of some non-autonomous differential equation of the third order.Proc. Japan Acad. 47 (1971), 909–914. MR 0313603 |
| Reference:
|
[9] Yoshizawa, T.: Stability theorem by Liapunov second method.The Mathematical Society of Japan, Tokyo (1966). MR 0208086 |
| . |
