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Asymptotic Decay of Oscillatory Solutions of Second Order Differential Equations with Forcing Term

Asymptotic Decay of Oscillatory Solutions of Second Order Differential Equations with Forcing Term

The ordinary differential equation $(p(t)y’)’ + q(t)f(y) = r(t)$ and its companion functional differential equation are considered. Sufficient conditions are given which ensure that all oscillatory solutions tend to zero as $t \to \infty$.