Some notes on one oscillatory condition of neutral differential equations
Božena Mihalíková ; Eva Chomová
Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 26 (2006), p. 103-112 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:271197
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Božena Mihalíková; Eva Chomová. Some notes on one oscillatory condition of neutral differential equations. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 26 (2006) pp. 103-112. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1067/

[000] [1] T.A. Čanturia and R.G. Koplatadze, On oscillatory properties of differential equations with deviating arguments, Tbilisi, Univ. Press, Tbilisi, 1977 (in Russian).

[001] [2] J. Džurina, On unstable neutral differential equations of the second order, Czech. Math. J. 52 (127) (2002), 739-747. | Zbl 1023.34057

[002] [3] J. Džurina and D. Lacková, Oscillation results for second order nonlinear differential equations, CEJM 2 (1) (2004), 57-66. | Zbl 1046.34058

[003] [4] L.H. Erbe, Q. Kong and B.G. Zhang, Oscillation theory for functional differential equations, Dekker, New York 1995. | Zbl 0821.34067

[004] [5] G.B. Gustafson, Bounded oscillation of linear and nonlinear delay differential equations of even order, J. Math. Anal. Appl. 46 (1974), 175-189. | Zbl 0282.34027

[005] [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. | Zbl 0966.34069

[006] [7] G.S. Ladde, V. Lakshmikanthan and B.G. Zhang, Oscillation theory of differential equations with deviating arguments, Dekker, New York 1987.