# Oscillation theorems for neutral differential equations with the quasi-derivatives

Miroslava Růžičková; E. Špániková

Archivum Mathematicum (1994)

- Volume: 030, Issue: 4, page 293-300
- ISSN: 0044-8753

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topRůžičková, Miroslava, and Špániková, E.. "Oscillation theorems for neutral differential equations with the quasi-derivatives." Archivum Mathematicum 030.4 (1994): 293-300. <http://eudml.org/doc/247543>.

@article{Růžičková1994,

abstract = {The authors study the n-th order nonlinear neutral differential equations with the quasi – derivatives $L_n[x(t)+(-1)^r P(t) x(g(t))]+\delta Q(t) f(x(h(t))) = 0,$ where $\ n \ge 2,\ r \in \lbrace 1,2\rbrace ,\ $ and $ \delta = \pm 1.$ There are given sufficient conditions for solutions to be either oscillatory or they converge to zero.},

author = {Růžičková, Miroslava, Špániková, E.},

journal = {Archivum Mathematicum},

keywords = {neutral differential equation; oscillatory (nonoscillatory) solution; quasi derivatives; nonlinear neutral differential equations with quasiderivatives},

language = {eng},

number = {4},

pages = {293-300},

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

title = {Oscillation theorems for neutral differential equations with the quasi-derivatives},

url = {http://eudml.org/doc/247543},

volume = {030},

year = {1994},

}

TY - JOUR

AU - Růžičková, Miroslava

AU - Špániková, E.

TI - Oscillation theorems for neutral differential equations with the quasi-derivatives

JO - Archivum Mathematicum

PY - 1994

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

VL - 030

IS - 4

SP - 293

EP - 300

AB - The authors study the n-th order nonlinear neutral differential equations with the quasi – derivatives $L_n[x(t)+(-1)^r P(t) x(g(t))]+\delta Q(t) f(x(h(t))) = 0,$ where $\ n \ge 2,\ r \in \lbrace 1,2\rbrace ,\ $ and $ \delta = \pm 1.$ There are given sufficient conditions for solutions to be either oscillatory or they converge to zero.

LA - eng

KW - neutral differential equation; oscillatory (nonoscillatory) solution; quasi derivatives; nonlinear neutral differential equations with quasiderivatives

UR - http://eudml.org/doc/247543

ER -

## References

top- On the oscillation of an $n$th-order nonlinear neutral delay differential equation, J. Comp. Appl. Math. 41 (1992), 35-40. (1992) MR1181706
- Oscillation properties of first order nonlinear functional differential equations of neutral type, Diff. and Int. Equat. (1991), 425-436. (1991) MR1081192
- Oscillatory properties of functional differential systems of neutral type, Czech. Math. J. 43 (1993), 649-662. (1993) MR1258427
- Nonoscillatory solutions of differential equations with deviating argument, Czech. Math. J. 36 (111) (1986), 93-107. (1986) MR0822871
- Oscillation of bounded solutions of neutral differential equations, Appl. Math. Lett. 2 (1993), 43-46. (1993) MR1347773

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