# Article

 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: http://hdl.handle.net/10338.dmlcz/107783 . 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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