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Title: On the existence of oscillatory solutions to $n$th order differential equations with quasiderivatives (English)
Author: Bartušek, Miroslav
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 34
Issue: 1
Year: 1998
Pages: 1-12
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Category: math
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Keyword: Differential equations with quasiderivatives
Keyword: oscillatory solutions
MSC: 34C10
idZBL: Zbl 0914.34029
idMR: MR1629640
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Date available: 2009-02-17T10:09:55Z
Last updated: 2012-05-10
Stable URL: http://hdl.handle.net/10338.dmlcz/107628
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Reference: [1] Bartušek M.,: On the Structure of Solutions of a System of Three Differential Inequalities.Arch. Math. 30, 1994, 117–130. MR 1292563
Reference: [2] Bartušek M.,: Oscillatory Criteria For Nonlinear $n$th Order Differential Equations With Quasiderivatives.Georgian Math. J., 3, No 4, 1996, 301–314. MR 1397813
Reference: [3] Bartušek M.,: On Unbounded Oscillatory Solutions of $n$th Order Differential Equations With Quasiderivatives.in Proceedings of Second World Congress of Nonlinear Analysis, Athens, 1996, to appear. MR 1490082
Reference: [4] Bartušek M., Došlá Z.,: Oscillatory Criteria For Nonlinear Third Order Differential Equations With Quasiderivatives.Dif. Egs Dyn. Syst., 3, No 3, 1995, 251–268. MR 1386748
Reference: [5] Chanturia T. A.: On Monotony and Oscillatory Solutions of Ordinary Differential Equations of Higher Order.(in Russian), Ann. Pol. Math. XXXVII (1980), 93–111.
Reference: [6] Cecchi M., Marini M.: Oscillation Results for Emden-Fowler Type Differential Equations.J. Math. Anal. Appl. 205, 1997, 406–422. Zbl 0879.34040, MR 1428356
Reference: [7] Súkeník D.: Oscillation Criteria and Growth Of Nonoscillatory Solutions of Nonlinear Differential Equations.Acta Math. Univ. Comenianae, LVI–LVII, 179–193. MR 1083021
Reference: [8] Trench W. F.: Canonical Forms and Principal Systems for General Disconjugate Equations.TAMS, 189 (1974), 319–327. Zbl 0289.34051, MR 0330632
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