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Article

Title: Oscillation of linear retarded differential equation (English)
Author: Oláh, Rudolf
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 34
Issue: 3
Year: 1984
Pages: 371-377
Summary lang: Russian
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Category: math
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MSC: 34C10
MSC: 34K15
idZBL: Zbl 0561.34055
idMR: MR761419
DOI: 10.21136/CMJ.1984.101962
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Date available: 2008-06-09T15:00:46Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101962
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Reference: [1] Chanturia T. A.: Integral conditions of oscillation of solutions of higher-order linear differential equations.(Russian), Differencialnye Uravnenija 16 (1980), 470-482.
Reference: [2] Fite W. В.: Concerning the zeros of the solutions of certain differential equations.Trans. Amer. Math. Soc. 19 (1918), 341-352. MR 1501107, 10.1090/S0002-9947-1918-1501107-2
Reference: [3] Kiguradze I. T.: Concerning the oscillation of solutions of the equation $u\sp{m} + a(t) . \vert u\vert \sp{n}\, {\rm sign} u=0$.(Russian), Mat. Sb. 65 (1964), 172-187. MR 0173060
Reference: [4] Kiguradze I. T.: The problem of oscillation of solutions of nonlinear differential equations.(Russian), Differencialnye Uravnenija 1 (1965), 995-1006. Zbl 0155.41802, MR 0194689
Reference: [5] Kusano T.: On even order functional differential equations with advanced and retarded arguments.J. Differential Equations, to appear. Zbl 0512.34059, MR 0662487
Reference: [6] Ličko J., Švec M.: Le caractère oscillatoire des solutions de l'équation $y\sp{(n)} + f(x)y\sp{\alpha } = 0, n>1$.Czechoslovak Math. J. 13 (1963), 481-491. Zbl 0123.28202, MR 0161001
Reference: [7] Lovelady D. L.: On the oscillatory behavior of bounded solutions of higher order differential equations.J. Differential Equations 19 (1975), 167- 175. Zbl 0333.34030, MR 0382781, 10.1016/0022-0396(75)90026-1
Reference: [8] Manisiak P.: Oscillation of solutions of delay differential equations.Czechoslovak Math. J. 24 (1974), 284-291. MR 0348230
Reference: [9] Mikusimki J.: On Lite's oscillation theorems.Colloq. Math. 2 (1949), 34-39. MR 0041307, 10.4064/cm-2-1-34-39
Reference: [10] Myškis A. D.: Linear Differential Equations With Retarded Argument.(Russian), Moscow 1972. MR 0352648
Reference: [11] Onose H.: Oscillation criteria for second order nonlinear differential equations.Proc. Amer. Math. Soc. 51 (1975), 67-73. Zbl 0317.34024, MR 0369813, 10.1090/S0002-9939-1975-0369813-4
Reference: [12] Ševelo V. N.: Oscillation of Solutions of Differential Equations With Deviating Argument.(Russian), Kiev, 1978. MR 0492732
Reference: [13] Staikos V. A., Sficas Y. G.: Forced oscillations for differential equations of arbitrary order.J. Differential Equations 17 (1975), 1-11. Zbl 0325.34082, MR 0355270, 10.1016/0022-0396(75)90029-7
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