On oscillation criteria of fourth order linear differential equations
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 2, pp. 467-477
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The paper deals with oscillation criteria of fourth order linear differential equations with quasi-derivatives.
The paper deals with oscillation criteria of fourth order linear differential equations with quasi-derivatives.
Classification : 34A30, 34C10, 34C11, 34D05
Keywords: linear differential equation; quasi-derivative; monotone solution; Kneser solution; oscillatory solution
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Palumbíny, Oleg. On oscillation criteria of fourth order linear differential equations. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 2, pp. 467-477. http://geodesic.mathdoc.fr/item/CMJ_2003_53_2_a19/

[1] J. W. Heidel: Qualitative behavior of solutions of a third order nonlinear differential equation. Pacific. J. Math. 27 (1968), 507–526. | DOI | MR | Zbl

[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)

[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.

[4] O. Palumbíny: On oscillatory solutions of fourth order ordinary differential equations. Czechoslovak Math. J.  49(124) (1999), 779–790. | DOI | MR

[5] J.  Regenda: Oscillation criteria for fourth-order linear differential equations. Math. Slovaca 29 (1979), 3–16. | MR | Zbl

[6] J. Regenda: A note on oscillation and nonoscillation criteria for fourth order linear differential equations. Math. Slovaca 33 (1983), 297–302. | MR | Zbl

[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