| Title:
|
On the structure of oscillatory solutions of a third order differential equation (English) |
| Author:
|
Bartušek, Miroslav |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
33 |
| Issue:
|
3 |
| Year:
|
1997 |
| Pages:
|
323-334 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of the paper is to study the structure of oscillatory solutions of a nonlinear third order differential equation $y^{\prime \prime \prime } + py^{\prime \prime }+ qy^\prime + rf (y, y^\prime , y^{\prime \prime })=0$. (English) |
| Keyword:
|
oscillatory solutions |
| Keyword:
|
structure of solutions |
| MSC:
|
34C10 |
| MSC:
|
34C15 |
| idZBL:
|
Zbl 0914.34027 |
| idMR:
|
MR1601345 |
| . |
| Date available:
|
2008-06-06T21:34:31Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107621 |
| . |
| Reference:
|
[1] Bartuçek M.: Asymptotic Properties of Oscillatory Solutions of Differential Equations of the $n$-th Order.Folia, FSN Univ. Masaryk. Brunen., Math. 3, Masaryk Univ., Brno, 1992. MR 1271586 |
| Reference:
|
[2] Bartuçek M.: On the Structure of Solutions of a System of Three Differential Inequalities.Arch. Math. 30, No. 2 (1994), 117-130. MR 1292563 |
| Reference:
|
[3] Bartuçek M., Doçl Z.: Oscillatory Criteria for Nonlinear Third Order Differential Equations with Quasiderivatives.Diff. Eq. and Dynam. Sys. 3, No. 3 (1995), 251-268. MR 1386748 |
| Reference:
|
[4] Bartuçek M., Osička J.: Asymptotic Behaviour of Solutions of a Third-Order Nonlinear Differential Equations.Sub. for publ. |
| Reference:
|
[5] Cecchi M., Marini M., Villari G.: Integral Criteria for a Classification of Solutions of Linear Differential Equations.J. Diff. Eq. 99 (1992), 381-397. MR 1184060 |
| Reference:
|
[6] Cecchi M., Marini M.: Oscillation Results for Emden-Fowler Type Differential Equations.J. Math. Anal. Appl. Sub. for publ. |
| Reference:
|
[7] Hartman P.: Ordinary Differential Equations.Boston, 1982. Zbl 1009.34001, MR 0658490 |
| Reference:
|
[8] Moravskì L.: Some Oscillatory Properties of Solutions of Nonlinear Differential Equation of the Form $y^{\prime \prime }+ p(x)y^{\prime \prime }+ q(x)\, f(y^\prime )+ r(x)\, h(y)=0$.Arch. Math. XI (1975), No. 3, 139-150. MR 0412518 |
| Reference:
|
[9] Singh Y.P.: Some Oscillatory Theorems for Third-Order non-Linear Differential Equations.Yokohama Math. J., 18 (1970), 77-86. MR 0283300 |
| Reference:
|
[10] Waltman P: Oscillatory Criteria for Third Order Nonlinear Differential Equations.Pacif. J. Math., 18 (1966), No. 2, 385-389. MR 0200531 |
| . |
