| Title:
|
Asymptotic behaviour of oscillatory solutions of a fourth-order nonlinear differential equation (English) |
| Author:
|
Bartušek, M. |
| Author:
|
Osička, J. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
127 |
| Issue:
|
3 |
| Year:
|
2002 |
| Pages:
|
385-396 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Asymptotic behaviour of oscillatory solutions of the fourth-order nonlinear differential equation with quasiderivates $y^{[4]}+r(t)f(y)=0$ is studied. (English) |
| Keyword:
|
oscillatory solution |
| Keyword:
|
fourth order differential equation |
| MSC:
|
34C10 |
| MSC:
|
34D05 |
| idZBL:
|
Zbl 1015.34019 |
| idMR:
|
MR1931323 |
| DOI:
|
10.21136/MB.2002.134069 |
| . |
| Date available:
|
2009-09-24T22:02:42Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134069 |
| . |
| Reference:
|
[1] Bartušek M.: Asymptotic Properties of Oscillatory Solutions of Differential Equations of $n$-th Order.FOLIA FSN Univ. Masarykiana Brunensis, Masaryk University, Brno, 1982. MR 1271586 |
| Reference:
|
[2] Bartušek M.: On structure of solutions of a system of four differential inequalities.Georg. Math. J. 2 (1995), 225–236. MR 1334878, 10.1007/BF02261697 |
| Reference:
|
[3] Bartušek M.: Asymptotic behaviour of oscillatory solutions of $n$-th order differential equations with quasiderivatives.Czechoslovak Math. J. 47 (1997), 245–259. MR 1452419, 10.1023/A:1022817628637 |
| Reference:
|
[4] Bartušek M.: On unbounded oscillatory solutions of $n$-th order differential equations with quasiderivatives.Nonlin. Anal. 30 (1997), 1595–1605. MR 1490082, 10.1016/S0362-546X(97)00027-8 |
| Reference:
|
[5] Bartušek M.: On oscillatory solutions of third order differential equation with quasiderivatives.(to appear). MR 1784252 |
| Reference:
|
[6] Bartušek M., Došlá Z., Graef J. R.: Limit-point type results for nonlinear fourth-order differential equations.Nonlin. Anal. 28 (1997), 779–792. MR 1422183, 10.1016/0362-546X(95)00191-W |
| Reference:
|
[7] Kiguradze I., Chanturija T.: Asymptotic Properties of Solution of Nonautonomous Ordinary Differential Equations.Kluwer Acad. Press, Dordrecht, 1993. MR 1220223 |
| . |
