论文信息 - Oscillatory solutions for a generalized sublinear second order differential equation

Oscillatory solutions for a generalized sublinear second order differential equation

A criterion is given for the existence of oscillatory solutions for equation (1) below which generalizes a recent result for the sublinear case of (1'). The present theorem is the analogue of a result of Izjumova for the generalized superlinear case. We consider the question of the existence of oscillatory solutions of the equation (1) u" + f(t, u) = 0 where the function f(t, u) is defined and continuous in the region 0 t 1 and sublinear if 0 0, the function (2) b(t, x) = t3/2f(t, t112X) is nonnegative, continuously diferentiable, and nondecreasing in t in the Received by the editors May 8, 1972 and, in revised form, June 30, 1972. AMS (MOS) subject classifications (1970). Primary 34C10.

J. Heidel | I. Kiguradze

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