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Separation of Roots and Oscillation in Ordinary Linear Differential Equations of Second Order

Separation of Roots and Oscillation in Ordinary Linear Differential Equations of Second Order

New criteria for the oscillatory or nonoscillatory behavior of ordinary, linear differential equations of second order and the location of their roots are obtained with the aid of new types of Sturmian majorant comparison equations. Several known results are obtained as special cases under less stringent conditions.