Abstract
We prove the boundedness of all solutions for the equation x″ + V′(x) = DxG(x, t), where V (x) is of singular potential, i.e., limx→−1V (x) = +∞, and G(x, t) is bounded and periodic in t. We give sufficient conditions on V (x) and G(x, t) to ensure that all solutions are bounded.
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