# Article

 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 . Category: math . 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. Keyword: property (B) Keyword: comparison theorem Keyword: deviating argument.. MSC: 34C10 MSC: 34K15 MSC: 34K25 MSC: 34K99 idZBL: Zbl 0815.34060 idMR: MR1308354 . Date available: 2008-06-06T21:26:32Z Last updated: 2012-05-10 Stable URL: http://hdl.handle.net/10338.dmlcz/107507 . 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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