An Improvement on the Oscillation of Forced Second Order Nonlinear Differential Equations
نویسندگان
چکیده
In the case of oscillatory potentials, new oscillation criteria are established for the forced nonlinear differential equations ` |x′(t)|αsgnx′(t) ́′ + q(t)|x(t)|sgnx(t) = g(t) (β > α > 0). (*) Our results generalize and improve the main result of Nasr [3] for equation (∗) with α = 1, β > 1 and can be applied to extreme cases such as R∞ t0 q(t)dt = −∞ and R∞ t0 g(t)dt = −∞.
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