| Title:
|
On a conjecture about an integral criterion for oscillation (English) |
| Author:
|
Elias, Uri |
| Author:
|
Škerlík, Anton |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
34 |
| Issue:
|
3 |
| Year:
|
1998 |
| Pages:
|
393-399 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We discuss an open question of Kiguradze and Chanturia about Property $A$ and Property $B$ for the equation $ y^{(n)} + py = 0 $. The proposed integral criterion is proved in a few cases. (English) |
| Keyword:
|
oscillation |
| Keyword:
|
Property A |
| Keyword:
|
Property B |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0973.34022 |
| idMR:
|
MR1662060 |
| . |
| Date available:
|
2009-02-17T10:14:43Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107666 |
| . |
| Reference:
|
[K] Kiguradze, I. T. and Chanturia, T. A.: Asymptotic properties of solutions of nonautonomous ordinary differential equations.Kluwer Publishers, Dordrecht, 1993. MR 1220223 |
| Reference:
|
[E] Elias, U.: Oscillation theory of two-term differential equations.Kluwer Publishers, Dordrecht, 1997. Zbl 0878.34022, MR 1445292 |
| Reference:
|
[S1] Škerlík, A.: An integral condition of oscillation for the equation $ y^{\prime \prime \prime } + p(t)y^{\prime } + q(t)y = 0 $ with nonnegative coefficients.Arch. Math. (Brno) 31 (1995), 151-161. MR 1357983 |
| Reference:
|
[S2] Škerlík, A.: An integral condition of Property $A$ and $B$ for linear differential equation of third order.Proceedings of the Conference on Ordinary Differential Equations Poprad, Slovac Republic (1994), 81-85. |
| . |
