# Some notes on one oscillatory condition of neutral differential equations

Božena Mihalíková; Eva Chomová

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2006)

- Volume: 26, Issue: 1, page 103-112
- ISSN: 1509-9407

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topBožena Mihalíková, and Eva Chomová. "Some notes on one oscillatory condition of neutral differential equations." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 26.1 (2006): 103-112. <http://eudml.org/doc/271197>.

@article{BoženaMihalíková2006,

abstract = {
The aim of this paper is to present sufficient conditions for all bounded solutions of the second order neutral differential equations of the form
(r(t)(x(t) - px(t-τ))')' - q(t)f(x(σ(t))) = 0
to be oscillatory and to compare some existing results.
},

author = {Božena Mihalíková, Eva Chomová},

journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},

keywords = {neutral equation; oscillatory solution},

language = {eng},

number = {1},

pages = {103-112},

title = {Some notes on one oscillatory condition of neutral differential equations},

url = {http://eudml.org/doc/271197},

volume = {26},

year = {2006},

}

TY - JOUR

AU - Božena Mihalíková

AU - Eva Chomová

TI - Some notes on one oscillatory condition of neutral differential equations

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 2006

VL - 26

IS - 1

SP - 103

EP - 112

AB -
The aim of this paper is to present sufficient conditions for all bounded solutions of the second order neutral differential equations of the form
(r(t)(x(t) - px(t-τ))')' - q(t)f(x(σ(t))) = 0
to be oscillatory and to compare some existing results.

LA - eng

KW - neutral equation; oscillatory solution

UR - http://eudml.org/doc/271197

ER -

## References

top- [1] T.A. Čanturia and R.G. Koplatadze, On oscillatory properties of differential equations with deviating arguments, Tbilisi, Univ. Press, Tbilisi, 1977 (in Russian).
- [2] J. Džurina, On unstable neutral differential equations of the second order, Czech. Math. J. 52 (127) (2002), 739-747. Zbl1023.34057
- [3] J. Džurina and D. Lacková, Oscillation results for second order nonlinear differential equations, CEJM 2 (1) (2004), 57-66. Zbl1046.34058
- [4] L.H. Erbe, Q. Kong and B.G. Zhang, Oscillation theory for functional differential equations, Dekker, New York 1995. Zbl0821.34067
- [5] G.B. Gustafson, Bounded oscillation of linear and nonlinear delay differential equations of even order, J. Math. Anal. Appl. 46 (1974), 175-189. Zbl0282.34027
- [6] Š. Kulcsár, On the asymptotic behaviour of solutions of the second order neutral differential equations, Publ. Math. Debrecen 57 (1-2) (2000), 153-161. Zbl0966.34069
- [7] G.S. Ladde, V. Lakshmikanthan and B.G. Zhang, Oscillation theory of differential equations with deviating arguments, Dekker, New York 1987.

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