Title:
|
On monotone solutions of the fourth order ordinary differential equations (English) |
Author:
|
Tóthová, Mária |
Author:
|
Palumbíny, Oleg |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
45 |
Issue:
|
4 |
Year:
|
1995 |
Pages:
|
737-746 |
. |
Category:
|
math |
. |
MSC:
|
34A30 |
MSC:
|
34C10 |
MSC:
|
34C99 |
idZBL:
|
Zbl 0849.34023 |
idMR:
|
MR1354930 |
DOI:
|
10.21136/CMJ.1995.128553 |
. |
Date available:
|
2009-09-24T09:52:21Z |
Last updated:
|
2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128553 |
. |
Reference:
|
[1] J. Regenda: Oscillatory and nonoscillatory properties of solutions of the differential equation $y^{(4)}+P(t)y^{\prime \prime }+Q(t)y=0$.Mathematica Slovaca 28 (1978). MR 0534812 |
Reference:
|
[2] M. Cecchi, M. Marini, J. Rovder: On existence and uniqueness of the solutions of the third order differential equation.(to appear). |
Reference:
|
[3] J. Rovder: Comparison theorems for third-order linear differential equations.Bulletin of the Institute of Mathematics Academia Sinica 19 (1991). Zbl 0726.34029, MR 1144391 |
Reference:
|
[4] M. Švec: On various properties of the solutions of third and fourth order linear differential equations.Proceedings of the conference held in Prague in September 1962. MR 0174825 |
Reference:
|
[5] Ch. G. Philos: Oscillation and asymptotic behaviour of third order linear differential equations.Bull. Inst. Math. Acad. Sinica 11(2) (1983). MR 0723022 |
Reference:
|
[6] A. Škerlík: Criteria of property A for third order superlinear differential equations.Math. Slovaca 43(2) (1993). MR 1274600 |
Reference:
|
[7] W. Leighton and Z. Nehari: On the oscillation of solutions of self-adjoint linear differential equations of the fourth order.Trans. Amer. Math. Soc. 89 (1958). MR 0102639, 10.1090/S0002-9947-1958-0102639-X |
Reference:
|
[8] J. H. Barrett: Two-point boundary problems for linear self-adjoint differential equations of the fourth-order with middle term.Duke. Math. J. 29 (1962). Zbl 0108.08204, MR 0148981, 10.1215/S0012-7094-62-02955-1 |
Reference:
|
[9] A. Shair: On the oscillation of solutions of a class of linear fourth order differential equations.Pac. J. Math. 34 (1970). MR 0268455 |
Reference:
|
[10] M. Švec: Über einige neue Eigenschaften der oszillatorischen Lösungen der linearen homogenen Differentialgleichung vierter Ordnung.Czechoslov. Math. J. 4(79) (1954). MR 0065745 |
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