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Title: On oscillatory linear differential equations of third order (English)
Author: Parhi, N.
Author: Padhi, Seshadev
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 37
Issue: 1
Year: 2001
Pages: 33-38
Summary lang: English
Category: math
Summary: Sufficient conditions are obtained in terms of coefficient functions such that a linear homogeneous third order differential equation is strongly oscillatory. (English)
Keyword: oscillation
Keyword: nonoscillation
Keyword: weakly oscillatory
Keyword: strongly oscillatory
MSC: 34C10
MSC: 34C11
idZBL: Zbl 1090.34533
idMR: MR1822761
Date available: 2008-06-06T22:28:10Z
Last updated: 2012-05-10
Stable URL:
Reference: [1] Dolan, J. M.: On the relationship between the oscillatory behaviour of a linear third order differential equation and its adjoint.J. Differential Equations 7 (1970), 367–388. MR 0255908
Reference: [2] Greguš, M.: On some new properties of solutions of the differential equation $y^{\prime \prime \prime }+ Q y^\prime +$ $ Q^\prime y=0$.Spisy Přír. fak. MU (Brno), 365 (1955), 1-18.
Reference: [3] Keener, M S.: On the solutions of certain linear nonhomogeneous second order differential equations.Appl. Anal. 1 (1971), 57–63. Zbl 0215.43802, MR 0281997
Reference: [4] Neuman, F.: On two problems on oscillations of linear differential equations of the third order.J. Differential Equations 15 (1974), 589–596. Zbl 0287.34029, MR 0342769
Reference: [5] Swanson, C. A.: Comparison and Oscillation Theory of Linear Differential Equations.Academic Press, New York and London 1968. Zbl 0191.09904, MR 0463570


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