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Title: Unbounded oscillation of the second-order neutral differential equations (English)
Author: Džurina, Jozef
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 51
Issue: 4
Year: 2001
Pages: 441-447
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Category: math
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MSC: 34C10
MSC: 34K11
MSC: 34K40
idZBL: Zbl 0999.34064
idMR: MR1864111
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Date available: 2009-09-25T11:54:14Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/136813
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Reference: [1] BAINOV D. D.-MISHEV D. P.: Oscillation Theory for Neutral Differential Equations with Delay.Adam Hilger, Bristol, 1991. Zbl 0747.34037, MR 1147908
Reference: [2] CANTURIA T. A.-KOPLATADZE R. G.: On Oscillatory Properties of Differential Equations with Deviating Arguments.Tbilisi Univ. Press, Tbilisi, 1977. (Russian)
Reference: [3] DOMOSHNITSKY A. I.: Extension of Sturm's theorem to apply to an equation with time lag.Differentsial'nye Uravneniya 19 (1983), 1475-1482. MR 0718547
Reference: [4] DOŠLÁ Z.-KIGURADZE I. T.: On boundedness and stability of solutions of second order equations with advanced arguments.Adv. Math. Sci. Appl. 9 (1999), 1-24. MR 1690385
Reference: [5] DZURINA J.-MIHALÍKOVA B.: A note on unstable neutral differential equations of the second order differential equations.Fasc. Math. 29 (1999), 17-22. MR 1724462
Reference: [6] ERBE L. H.-KONG Q.-ZHANG B. G.: Oscillation Theory for Functional Differential Equations.Dekker, New York, 1995. MR 1309905
Reference: [7] GRACE S. R.: Oscillation criteria for $n$-th order neutral functional differential equations.J. Math. Anal. Appl. 184 (1994), 44-55. Zbl 0803.34067, MR 1275942
Reference: [8] GYÖRI I.-LADAS G.: Theory of Delay Differential Equations with Applications.Clarendon Press, Oxford, 1991. Zbl 0780.34048, MR 1168471
Reference: [9] LADDE G. S.-LAKSHMIKANTHAM V.-ZHANG B. G.: Oscillation Theory of Differential Equations with Deviating Arguments.Dekker, New York, 1987. Zbl 0832.34071, MR 1017244
Reference: [10] KULCSAR S.: On the asymptotic behavior of solutions of the second order neutral differential equations.Publ. Math. Debrecen 57 (2000), 153-161. MR 1771682
Reference: [11] TANAKA S.: Oscillation properties of solutions of second order neutral differential equations with deviating arguments.Analysis 17 (1997), 99-111. Zbl 0890.34058, MR 1486358
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