# Property (B) of differential equations with deviating argument

Archivum Mathematicum (1994)

- Volume: 030, Issue: 3, page 207-213
- ISSN: 0044-8753

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topDžurina, Jozef. "Property (B) of differential equations with deviating argument." Archivum Mathematicum 030.3 (1994): 207-213. <http://eudml.org/doc/247560>.

@article{Džurina1994,

abstract = {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.},

author = {Džurina, Jozef},

journal = {Archivum Mathematicum},

keywords = {property (B); comparison theorem; deviating argument.; property ; nonoscillatory solutions; comparison principle; oscillation},

language = {eng},

number = {3},

pages = {207-213},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Property (B) of differential equations with deviating argument},

url = {http://eudml.org/doc/247560},

volume = {030},

year = {1994},

}

TY - JOUR

AU - Džurina, Jozef

TI - Property (B) of differential equations with deviating argument

JO - Archivum Mathematicum

PY - 1994

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 030

IS - 3

SP - 207

EP - 213

AB - 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.

LA - eng

KW - property (B); comparison theorem; deviating argument.; property ; nonoscillatory solutions; comparison principle; oscillation

UR - http://eudml.org/doc/247560

ER -

## References

top- On the oscillatory and monotone solutions of the first order differential equations with deviating argument, Dif. Uravnenija 18 (1982), 1463–1465. (Russian) (1982) MR0671174
- Oscillations of the first order differential equations with deviating arguments, Univ of Ioannina, Technical report No 172 Math (1990), 1–18. (1990)
- Oscillation theory of delay differential equations, Clarendon press, Oxford, 1991. (1991) MR1168471
- On the oscillation of solutions of the equation ${d}^{m}u/d{t}^{m}+a\left(t\right){\left|u\right|}^{n}sign\phantom{\rule{0.166667em}{0ex}}u=0$, Mat. Sb 65 (1964), 172–187. (Russian) (1964) Zbl0135.14302MR0173060
- Comparison theorems for functional differential equations with deviating arguments, J. Math. Soc. Japan 3 (1981), 509–532. (1981) MR0620288
- Oscillation theory of differential equations with deviating arguments, Dekker, New York, 1987. (1987) MR1017244
- Canonical forms and principal systems for general disconjugate equations, Trans. Amer. Math. Soc 189 (1974), 319–327. (1974) Zbl0289.34051MR0330632

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