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MR ZblKeywords: nonlinear differential equations; quasi-derivatives; monotone solutions; Kneser solutions
Palumbíny, Oleg. On existence of Kneser solutions of a certain class of $n$-th order nonlinear differential equations. Mathematica Bohemica, Tome 123 (1998) no. 1, pp. 49-65. doi: 10.21136/MB.1998.126297
@article{10_21136_MB_1998_126297,
author = {Palumb{\'\i}ny, Oleg},
title = {On existence of {Kneser} solutions of a certain class of $n$-th order nonlinear differential equations},
journal = {Mathematica Bohemica},
pages = {49--65},
year = {1998},
volume = {123},
number = {1},
doi = {10.21136/MB.1998.126297},
mrnumber = {1618715},
zbl = {0903.34010},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1998.126297/}
}
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[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. | DOI | 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. Amer. Math. Soc. 89 (1958), 325-377. | DOI | MR
[4] Palumbíny O.: On existence of monotone solutions of a certain class of n-th order nonlinear differential equations. To appear. | MR
[5] Philos, Ch. G.: Oscillation and asymptotic behaviour of third order linear differential equations. Bull. Inst. Math. Acad. Sinica 11(2) (1983), 141-160. | MR
[6] Regenda J.: Osciliatory 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
[7] Rovder J.: Comparison theorems for third-order linear differential equations. Bull. Inst. Math. Acad. Sinica 19 (1991), 43-52. | MR | Zbl
[8] Rovder J.: Kneser problem for third order nonlinear differential equation. Zborník vedeckých prác MtF STU Trnava (1993).
[9] Shair A.: On the oscillation of solutions of a class of linear fourth order differential equations. Pacific J. Math. 34 (1970), 289-299. | DOI | MR
[10] Škerlík A.: Criteria of property A for third order superlinear differential equations. Math. Slovaca 43 (1993), 171-183. | MR
[11] Švec M.: On various properties of the solutions of third and fourth order linear differential equations. Proceedings of the conference held in Prague in September 1962. pp. 187-198. | MR
[12] Švec M.: Über einige neue Eigenschaften der oszillatorischen Lösungen der linearen homogenen Differentialgleichung vierter Ordnung. Czechoslovak Math. J. 4 (79) (1954), 75-94. | MR
[13] Tóthová M., Palumbíny O.: On monotone solutions of the fourth order ordinary differential equations. Czechoslovak Math. J. 45 (120) (1995), 737-746. | MR | Zbl
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