@article{10_21136_CMJ_1995_128553,
author = {T\'othov\'a, M\'aria and Palumb{\'\i}ny, Oleg},
title = {On monotone solutions of the fourth order ordinary differential equations},
journal = {Czechoslovak Mathematical Journal},
pages = {737--746},
year = {1995},
volume = {45},
number = {4},
doi = {10.21136/CMJ.1995.128553},
mrnumber = {1354930},
zbl = {0849.34023},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128553/}
}
TY - JOUR AU - Tóthová, Mária AU - Palumbíny, Oleg TI - On monotone solutions of the fourth order ordinary differential equations JO - Czechoslovak Mathematical Journal PY - 1995 SP - 737 EP - 746 VL - 45 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128553/ DO - 10.21136/CMJ.1995.128553 LA - en ID - 10_21136_CMJ_1995_128553 ER -
%0 Journal Article %A Tóthová, Mária %A Palumbíny, Oleg %T On monotone solutions of the fourth order ordinary differential equations %J Czechoslovak Mathematical Journal %D 1995 %P 737-746 %V 45 %N 4 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128553/ %R 10.21136/CMJ.1995.128553 %G en %F 10_21136_CMJ_1995_128553
Tóthová, Mária; Palumbíny, Oleg. On monotone solutions of the fourth order ordinary differential equations. Czechoslovak Mathematical Journal, Tome 45 (1995) no. 4, pp. 737-746. doi: 10.21136/CMJ.1995.128553
[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
[2] M. Cecchi, M. Marini, J. Rovder: On existence and uniqueness of the solutions of the third order differential equation. (to appear).
[3] J. Rovder: Comparison theorems for third-order linear differential equations. Bulletin of the Institute of Mathematics Academia Sinica 19 (1991). | MR | Zbl
[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
[5] Ch. G. Philos: Oscillation and asymptotic behaviour of third order linear differential equations. Bull. Inst. Math. Acad. Sinica 11(2) (1983). | MR
[6] A. Škerlík: Criteria of property A for third order superlinear differential equations. Math. Slovaca 43(2) (1993). | MR
[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). | DOI | MR
[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). | DOI | MR | Zbl
[9] A. Shair: On the oscillation of solutions of a class of linear fourth order differential equations. Pac. J. Math. 34 (1970). | MR
[10] M. Švec: Über einige neue Eigenschaften der oszillatorischen Lösungen der linearen homogenen Differentialgleichung vierter Ordnung. Czechoslov. Math. J. 4(79) (1954). | MR
Cité par Sources :