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Title: Property (B) of differential equations with deviating argument (English)
Author: Džurina, Jozef
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 30
Issue: 3
Year: 1994
Pages: 207-213
Summary lang: English
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Category: math
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Summary: The aim of this paper is to deduce oscillatory and asymptotic behavior of delay differential equation \[ L_nu(t)-p(t)u(\tau (t))= 0, \] from the oscillation of a set of the first order delay equations. (English)
Keyword: property (B)
Keyword: comparison theorem
Keyword: deviating argument..
MSC: 34C10
MSC: 34K15
MSC: 34K25
MSC: 34K99
idZBL: Zbl 0815.34060
idMR: MR1308354
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Date available: 2008-06-06T21:26:32Z
Last updated: 2012-05-10
Stable URL: http://hdl.handle.net/10338.dmlcz/107507
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Reference: [1] Chanturia, T. A. , Koplatadze, R. G.: On the oscillatory and monotone solutions of the first order differential equations with deviating argument.Dif. Uravnenija 18 (1982), 1463–1465. (Russian) MR 0671174
Reference: [2] Elbert, A., Stavroulakis, I. P.: Oscillations of the first order differential equations with deviating arguments.Univ of Ioannina, Technical report No 172 Math (1990), 1–18.
Reference: [3] Györi, I., Ladas, G.: Oscillation theory of delay differential equations.Clarendon press, Oxford, 1991. MR 1168471
Reference: [4] Kiguradze, T. I.: On the oscillation of solutions of the equation $d^mu/dt^m + a(t)|u|^n sign\,u = 0$.Mat. Sb 65 (1964), 172–187. (Russian) Zbl 0135.14302, MR 0173060
Reference: [5] Kusano, T., Naito, M.: Comparison theorems for functional differential equations with deviating arguments.J. Math. Soc. Japan 3 (1981), 509–532. MR 0620288
Reference: [6] Ladde, G. S., Lakshmikantham, V., Zhang, B. G.: Oscillation theory of differential equations with deviating arguments.Dekker, New York, 1987. MR 1017244
Reference: [7] Trench, W. F.: Canonical forms and principal systems for general disconjugate equations.Trans. Amer. Math. Soc 189 (1974), 319–327. Zbl 0289.34051, MR 0330632
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