ON OSCILLATORY LINEAR DIFFERENTIAL EQUATIONS OF THIRD ORDER

N. Parhi and S. Padhi

Address. Department of Mathematics, Berhampur University, Berhampur - 760 007, INDIA

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Abstract. Sufficient conditions are obtained in terms of coefficient functions such that a linear homogeneous third order differential equation is strongly oscillatory.

AMSclassification. 34C10, 34C11

Keywords. Oscillation, nonoscillation, weakly oscillatory,strongly oscillatory.