Geodesic
Property (B) of differential equations with deviating argument
Archivum mathematicum, Tome 30 (1994) no. 3, pp. 207-213

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
The aim of this paper is to deduce oscillatory and asymptotic behavior of delay differential equation \[ L_nu(t)-p(t)u(\tau (t))= 0, \] from the oscillation of a set of the first order delay equations.
The aim of this paper is to deduce oscillatory and asymptotic behavior of delay differential equation \[ L_nu(t)-p(t)u(\tau (t))= 0, \] from the oscillation of a set of the first order delay equations.
Classification : 34C10, 34K15, 34K25, 34K99
Keywords: property (B); comparison theorem; deviating argument.. 
Džurina, Jozef. Property (B) of differential equations with deviating argument. Archivum mathematicum, Tome 30 (1994) no. 3, pp. 207-213. http://geodesic.mathdoc.fr/item/ARM_1994_30_3_a3/
@article{ARM_1994_30_3_a3,
     author = {D\v{z}urina, Jozef},
     title = {Property {(B)} of differential equations with deviating argument},
     journal = {Archivum mathematicum},
     pages = {207--213},
     year = {1994},
     volume = {30},
     number = {3},
     mrnumber = {1308354},
     zbl = {0815.34060},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1994_30_3_a3/}
}
TY  - JOUR
AU  - Džurina, Jozef
TI  - Property (B) of differential equations with deviating argument
JO  - Archivum mathematicum
PY  - 1994
SP  - 207
EP  - 213
VL  - 30
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/ARM_1994_30_3_a3/
LA  - en
ID  - ARM_1994_30_3_a3
ER  - 
%0 Journal Article
%A Džurina, Jozef
%T Property (B) of differential equations with deviating argument
%J Archivum mathematicum
%D 1994
%P 207-213
%V 30
%N 3
%U http://geodesic.mathdoc.fr/item/ARM_1994_30_3_a3/
%G en
%F ARM_1994_30_3_a3

[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] Elbert, A., Stavroulakis, I. P.: Oscillations of the first order differential equations with deviating arguments. Univ of Ioannina, Technical report No 172 Math (1990), 1–18.

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

[4] Kiguradze, T. I.: 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] Trench, W. F.: Canonical forms and principal systems for general disconjugate equations. Trans. Amer. Math. Soc 189 (1974), 319–327. | MR | Zbl