The equation to be considered is \[ L_ny(t)+p(t)y(\tau (t))=0. \] The aim of this paper is to derive sufficient conditions for property (A) of this equation.
@article{107525,
author = {Vincent \v Solt\'es},
title = {Property (A) of the $n$-th order differential equations with deviating argument},
journal = {Archivum Mathematicum},
volume = {031},
year = {1995},
pages = {59-63},
zbl = {0830.34057},
mrnumber = {1342376},
language = {en},
url = {http://dml.mathdoc.fr/item/107525}
}
Šoltés, Vincent. Property (A) of the $n$-th order differential equations with deviating argument. Archivum Mathematicum, Tome 031 (1995) pp. 59-63. http://gdmltest.u-ga.fr/item/107525/
Comparison theorems for nonlinear ODE’s., Math. Slovaca 42 (1992), 299–315. (1992) | MR 1182960
Property (A) of third-order differential equations with deviating argument, Math. Slovaca 44 (1994). (1994) | MR 1281030
Nonoscillatory solutions of higher order differential equations, J. Math. Anal. Appl. 71 (1979), 1–17. (1979) | MR 0545858
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) (1964) | MR 0173060 | Zbl 0135.14302
Comparison theorems for functional differential equations with deviating arguments, J. Math. Soc. Japan 3 (1981), 509–532. (1981) | MR 0620288
On strong oscillation of retarded differential equations, Hiroshima Math. J. 11 (1981), 553–560. (1981) | MR 0635038 | Zbl 0512.34056
Nonoscillatory solutions of differential equations with deviating argument, Czech. Math. J. 36 (1986), 93–107. (1986) | MR 0822871
Oscillation theorems for third order nonlinear differential equations, Math. Slovaca 42 (1992), 471–484. (1992) | MR 1195041