| Title:
|
On certain singular third order eigenvalue problem (English) |
| Author:
|
Greguš, Michal |
| Author:
|
Greguš, Michal, Jr. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
39 |
| Issue:
|
3 |
| Year:
|
2003 |
| Pages:
|
173-177 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper a singular third order eigenvalue problem is studied. The results of the paper complete the results given in the papers [3], [5]. (English) |
| Keyword:
|
singular eigenvalue problem |
| Keyword:
|
normal form of third order differential equation |
| Keyword:
|
zeros of nonoscillatory solutions |
| MSC:
|
34B05 |
| MSC:
|
34B24 |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 1116.34306 |
| idMR:
|
MR2010717 |
| . |
| Date available:
|
2008-06-06T22:41:37Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107863 |
| . |
| Reference:
|
[1] Elbert A., Takaši K., Naito M.: Singular eigenvalue problems for second order linear ordinary differential equations.Arch. Math. (Brno), T. 34 (1998), 59–72. Zbl 0914.34021, MR 1629660 |
| Reference:
|
[2] Gera M.: Bedingungen der Nicht-oszillationsfähigkeit für die lineare Differentialgleichung dritter Ordnung.Mat. Čas. Slov. akad. vied, 21 (1971), 65–80. MR 0304769 |
| Reference:
|
[3] Greguš M.: On certain third order eigenvalue problem.CDDE Brno 2000, Masaryk University, Arch. Math. (Brno), T. 36 (2000), 461–464. Zbl 1090.34515, MR 1822814 |
| Reference:
|
[4] Greguš M.: Third Order Differential Equations.D. Riedel Publishing Company, Dordrecht, Boston, Lancaster, Tokyo (1987). MR 0882545 |
| Reference:
|
[5] Greguš M., Jr.: On certain third order boundary value problems on infinite interval.CDDE Brno 2000, Masaryk University, Arch. Math. (Brno), T. 36 (2000), 465–468. Zbl 1090.34518, MR 1822815 |
| Reference:
|
[6] Swanson C. A.: Comparison and oscillation theory of linear differential equations.Academic Press, New York and London 1968. Zbl 0191.09904, MR 0463570 |
| . |
