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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