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Title: Asymptotic behaviour of a class of third order delay-differential equations (English)
Author: Parhi, N.
Author: Padhi, Seshadev
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 50
Issue: 3
Year: 2000
Pages: 315-333
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Category: math
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MSC: 34C10
idZBL: Zbl 0996.34029
idMR: MR1775304
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Date available: 2009-09-25T11:45:14Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/136780
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Reference: [1] AHMAD S.-LAZER A. C.: On the oscillatory behaviour of a class of linear third order differential equations.J. Math. Anal. Appl. 28 (1970), 681-689. MR 0248394
Reference: [2] DŽURINA J.: Asymptotic properties of third order delay differential equations.Czechoslovak Math. J. 45 (1995), 443-448. Zbl 0842.34073, MR 1344509
Reference: [3] DŽURINA J.: Asymptotic properties of the third order differential equations.Nonlinear Anal. 26 (1996), 33-39. MR 1354789
Reference: [4] ERBE L.: Existence of oscillatory solutions and asymptotic behaviour for a class of third order linear differential equations.Pacific J. Math. 64 (1976), 369-385. MR 0435508
Reference: [5] GYORI I.-LADAS G.: Oscillation Theory of Delay Differential Equations.Clarendon Press, Oxford, 1991. MR 1168471
Reference: [6] JONES G. D.: Properties of solutions of a class of third-order differential equations.J. Math. Anal. Appl. 48 (1974), 165-169. Zbl 0289.34046, MR 0352608
Reference: [7] KIGURADZE I. T.: On the oscillation of solutions of the equation $d^m u/dt^m +a(t)|u|^n \sgn u = 0$.(Russian), Mat. Sb. 65 (1964), 172-187. Zbl 0135.14302, MR 0173060
Reference: [8] KUSANO T.-NAITO M.: Comparison theorems for functional differential equations with deviating arguments.J. Math. Soc. Japan 33 (1981), 509-532. Zbl 0494.34049, MR 0620288
Reference: [9] LAZER A. C.: The behaviour of solutions of the differential equation $y''' + p(x)y' + q(x)y = 0$.Pacific. J. Math. 17 (1966), 435-456. MR 0193332
Reference: [10] PARHI N.-DAS P.: On the oscillation of a ciass of linear homogeneous third order differential equations.Arch. Math. (Brno) 34 (1998), 435-443. MR 1679638
Reference: [11] PARHI N.-PADHI, SESHADEV: On asymptotic behaviour of delay differential equations of third order.Nonlinear Anal. 34 (1998), 391-403. MR 1635717
Reference: [12] 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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