| Title:
|
On oscillation criteria of fourth order linear differential equations (English) |
| Author:
|
Palumbíny, Oleg |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
53 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
467-477 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper deals with oscillation criteria of fourth order linear differential equations with quasi-derivatives. (English) |
| Keyword:
|
linear differential equation |
| Keyword:
|
quasi-derivative |
| Keyword:
|
monotone solution |
| Keyword:
|
Kneser solution |
| Keyword:
|
oscillatory solution |
| MSC:
|
34A30 |
| MSC:
|
34C10 |
| MSC:
|
34C11 |
| MSC:
|
34D05 |
| idZBL:
|
Zbl 1036.34038 |
| idMR:
|
MR1983466 |
| . |
| Date available:
|
2009-09-24T11:03:24Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127814 |
| . |
| Reference:
|
[1] J. W. Heidel: Qualitative behavior of solutions of a third order nonlinear differential equation.Pacific. J. Math. 27 (1968), 507–526. Zbl 0172.11703, MR 0240389, 10.2140/pjm.1968.27.507 |
| Reference:
|
[2] A. Yu. Levin: Nonoscillation of solutions of the equation $x^{(n)}+p_1(t)x^{(n-1)} + \dots +p_n(t)x=0$.Uspekhi mat. nauk, XXIV 2(146) (1969), 43–96. (Russian) |
| Reference:
|
[3] O. Palumbíny: On existence of oscillatory solutions of third-order linear differential equations.Acta Fac. Paed. Univ. Tyrnaviensis, Ser. B, No. 1 (1997), 105–112. |
| Reference:
|
[4] O. Palumbíny: On oscillatory solutions of fourth order ordinary differential equations.Czechoslovak Math. J. 49(124) (1999), 779–790. MR 1746703, 10.1023/A:1022401101007 |
| Reference:
|
[5] J. Regenda: Oscillation criteria for fourth-order linear differential equations.Math. Slovaca 29 (1979), 3–16. Zbl 0408.34032, MR 0561771 |
| Reference:
|
[6] J. Regenda: A note on oscillation and nonoscillation criteria for fourth order linear differential equations.Math. Slovaca 33 (1983), 297–302. Zbl 0539.34022, MR 0713952 |
| Reference:
|
[7] M. Tóthová and O. Palumbíny: On monotone solutions of the fourth order ordinary differential equations.Czechoslovak Math. J. 45(120) (1995), 737–746. MR 1354930 |
| . |
