@article{MASLO_1997_47_5_a4,
author = {Palumb{\'\i}ny, Oleg},
title = {On the existence of monotone solutions to a certain class of $n$-th order nonlinear differential equations},
journal = {Mathematica slovaca},
pages = {527--537},
year = {1997},
volume = {47},
number = {5},
mrnumber = {1635224},
zbl = {0942.34031},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_1997_47_5_a4/}
}
TY - JOUR AU - Palumbíny, Oleg TI - On the existence of monotone solutions to a certain class of $n$-th order nonlinear differential equations JO - Mathematica slovaca PY - 1997 SP - 527 EP - 537 VL - 47 IS - 5 UR - http://geodesic.mathdoc.fr/item/MASLO_1997_47_5_a4/ LA - en ID - MASLO_1997_47_5_a4 ER -
Palumbíny, Oleg. On the existence of monotone solutions to a certain class of $n$-th order nonlinear differential equations. Mathematica slovaca, Tome 47 (1997) no. 5, pp. 527-537. http://geodesic.mathdoc.fr/item/MASLO_1997_47_5_a4/
[1] BARRETT J. H.: Two-point boundary problems for linear self-adjoint differential equations of the fourth-order with middle term. Duke Math. J. 29 (1962), 543-554. | MR | Zbl
[2] HARTMAN P.: Ordinary Differential Equations. John Wiley & Sons, New York, 1964. | MR | Zbl
[3] LEIGHTON W., NEHARI Z.: On the oscillation of solutions of self-adjoint linear differential equations of the fourth order. Trans. Ameг. Math. Soc. 89 (1958), 325-377. | MR
[4] PHILOS, CH. G.: Oscillation and asymptotic behaviour of third order linear differential equations. Bull. Inst. Math. Acad. Sinica 11 (1983), 141-160. | MR
[5] REGENDA J.: Oscillatory and nonoscillatory properties of solutions of the differential equation $y^{(4)} + P(t)y'' + Q(t)y = 0$. Math. Slovaca 28 (1978), 329-342. | MR
[6] ROVDER J.: Comparison theorems for third-order linear differential equations. Bull. Inst. Math. Acad. Sinica 19 (1991), 43-52. | MR | Zbl
[7] ROVDEROVA E.: Existence of a monotone solution of a nonlinear differential equation. J. Math. Anal. Appl. 192 (1995), 1-15. | MR
[8] SHAIR A.: On the oscillation of solutions of a class of linear fourth order differential equations. Pacific J. Math. 34 (1970), 289-299. | MR
[9] ŠKERLÍK A.: Criteria of property A for third order superlinear differential equations. Math. Slovaca 43 (1993), 171-183. | MR | Zbl
[10] ŠVEC M.: On various properties of the solutions of third and fourth order linear differential equations. In: Proceedings of the conference held in Prague in September 1962, pp. 187-198. | MR
[11] ŠVEC M.: Über einige neue Eigenschaften der oszillatorischen Lösungen der linearen homogenen Differentialgleichung vierter Ordnung,/. Czechoslovak Math. J. 4(79) (1954), 75-94. | MR
[12] TÓTHOVÁ M.-PALUMBÍNY O.: On monotone solutions of the fourth order ordinary differential equations. Czechoslovak Math. J. 45(120) (1995), 737-746. | MR | Zbl