This paper deals with property A and B of a class of canonical linear homogeneous delay differential equations of $n$-th order.
@article{107791,
author = {N. Parhi and Seshadev Padhi},
title = {Asymptotic behaviour of solutions of delay differential equations of $n$-th order},
journal = {Archivum Mathematicum},
volume = {037},
year = {2001},
pages = {81-101},
zbl = {1090.34052},
mrnumber = {1838406},
language = {en},
url = {http://dml.mathdoc.fr/item/107791}
}
Parhi, N.; Padhi, Seshadev. Asymptotic behaviour of solutions of delay differential equations of $n$-th order. Archivum Mathematicum, Tome 037 (2001) pp. 81-101. http://gdmltest.u-ga.fr/item/107791/
A comparison theorem for linear delay-differential equations, Arch. Math. (Brno) 31 (1995), 113–120. | MR 1357979 | Zbl 0841.34071
Asymptotic properties of $n$-th order differential equations, Math. Nachr. 171 (1995), 149–156. | MR 1316355 | Zbl 0817.34039
Nonoscillation theorems for differential equations with general deviating arguments, Lecture Notes in Math. #1032, 224–239, Springer, Berlin. | MR 0742641
Oscillation Theory of Delay Differential Equations, Clarendon Press, Oxford, 1991. | MR 1168471
On the oscillation of solutions of the equation $d^m u/dt^m + a(t)|u|^n \text{sign}\, u=0$, Mat. Sb. 65 (1964), 172–187 (Russian). | MR 0173060 | Zbl 1004.34012
Comparison theorems for functional differential equations with deviating arguments, J. Math. Soc. Japan 3 (1981), 509–532. | MR 0620288
Oscillatory and asymptotic behaviour of solutions of a class of linear ordinary differential equations, Proc. Roy. Soc. Edinburgh Sect. A 90 (1981), 25–40. | MR 0636062
Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker, Inc. New York, 1987. | MR 1017244
On asymptotic behaviour of delay differential equations of third order, Nonlinear Anal. TMA 34 (1998), 391–403. | MR 1635717
Asymptotic behaviour of a class of third order delay differential equations, Math. Slovaca 50 (2000), 315–333. | MR 1775304
Canonical forms and principal systems for general disconjugate equations, Trans. Amer. Math. Soc. 189 (1974), 319–327. | MR 0330632 | Zbl 0289.34051