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Keywords:
oscillation; nonoscillation; weakly oscillatory; strongly oscillatory
oscillation; nonoscillation; weakly oscillatory; strongly oscillatory
Summary:
Sufficient conditions are obtained in terms of coefficient functions such that a linear homogeneous third order differential equation is strongly oscillatory.
References:
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[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.
[3] Keener, M S.: On the solutions of certain linear nonhomogeneous second order differential equations. Appl. Anal. 1 (1971), 57–63. MR 0281997 | Zbl 0215.43802
[4] Neuman, F.: On two problems on oscillations of linear differential equations of the third order. J. Differential Equations 15 (1974), 589–596. MR 0342769 | Zbl 0287.34029
[5] Swanson, C. A.: Comparison and Oscillation Theory of Linear Differential Equations. Academic Press, New York and London 1968. MR 0463570 | Zbl 0191.09904
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