Geodesic
A comparison theorem for linear delay differential equations
Archivum mathematicum, Tome 31 (1995) no. 2, pp. 113-120 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper property (A) of the linear delay differential equation \[ L_nu(t)+p(t)u(\tau (t))= 0, \] is to deduce from the oscillation of a set of the first order delay differential equations.
In this paper property (A) of the linear delay differential equation \[ L_nu(t)+p(t)u(\tau (t))= 0, \] is to deduce from the oscillation of a set of the first order delay differential equations.
Classification : 34C10, 34K11, 34K15
Keywords: Comparison theorem; property (A).. 
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     title = {A comparison theorem for linear delay differential equations},
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     url = {http://geodesic.mathdoc.fr/item/ARM_1995_31_2_a2/}
}
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Džurina, Jozef. A comparison theorem for linear delay differential equations. Archivum mathematicum, Tome 31 (1995) no. 2, pp. 113-120. http://geodesic.mathdoc.fr/item/ARM_1995_31_2_a2/

[1] Chanturia, T. A., Koplatadze, R. G.: On the oscillatory and monotone solutions of the first order differential equations with deviating argument. Dif. Uravnenija 18 (1982), 1463–1465. (Russian) | MR

[2] Džurina, J.: Comparison theorems for ODEs. Math. Slovaca 42 (1992), 299–315. | MR

[3] Győri, I., Ladas, G.: Oscillation theory of delay differential equations. Clarendon press, Oxford, 1991. | MR

[4] Kiguradze, I. T.: On the oscillation of solutions of the equation $d^mu/dt^m + a(t)|u|^n sign\,u = 0$. Mat. Sb 65 (1964), 172–187. (Russian) | MR | Zbl

[5] Kusano, T., Naito, M.: Comparison theorems for functional differential equations with deviating arguments. J. Math. Soc. Japan 3 (1981), 509–532. | MR

[6] Ladde, G. S., Lakshmikantham, V., Zhang, B. G.: Oscillation theory of differential equations with deviating arguments. Dekker, New York, 1987. | MR

[7] Mihal¡kov , B., Šoltés, P.: Oscillations of differential equation with retarded argument. Math. Slovaca 38 (1985), 295–303. | MR