| Title:
|
On oscillatory linear differential equations of third order (English) |
| Author:
|
Parhi, N. |
| Author:
|
Padhi, Seshadev |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
37 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
33-38 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Sufficient conditions are obtained in terms of coefficient functions such that a linear homogeneous third order differential equation is strongly oscillatory. (English) |
| Keyword:
|
oscillation |
| Keyword:
|
nonoscillation |
| Keyword:
|
weakly oscillatory |
| Keyword:
|
strongly oscillatory |
| MSC:
|
34C10 |
| MSC:
|
34C11 |
| idZBL:
|
Zbl 1090.34533 |
| idMR:
|
MR1822761 |
| . |
| Date available:
|
2008-06-06T22:28:10Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107783 |
| . |
| Reference:
|
[1] Dolan, J. M.: On the relationship between the oscillatory behaviour of a linear third order differential equation and its adjoint.J. Differential Equations 7 (1970), 367–388. MR 0255908 |
| Reference:
|
[2] Greguš, M.: On some new properties of solutions of the differential equation $y^{\prime \prime \prime }+ Q y^\prime +$ $ Q^\prime y=0$.Spisy Přír. fak. MU (Brno), 365 (1955), 1-18. |
| Reference:
|
[3] Keener, M S.: On the solutions of certain linear nonhomogeneous second order differential equations.Appl. Anal. 1 (1971), 57–63. Zbl 0215.43802, MR 0281997 |
| Reference:
|
[4] Neuman, F.: On two problems on oscillations of linear differential equations of the third order.J. Differential Equations 15 (1974), 589–596. Zbl 0287.34029, MR 0342769 |
| Reference:
|
[5] Swanson, C. A.: Comparison and Oscillation Theory of Linear Differential Equations.Academic Press, New York and London 1968. Zbl 0191.09904, MR 0463570 |
| . |
