Abstract

Abstract We prove that the sublinear equation with an obstacle { u ¨ + u α = p ( t ) , 0 < α < 1 , u ≥ 0 , u ( t 0 ) = 0 ⇒ u ˙ ( t 0 + ) = − u ˙ ( t 0 − ) has infinitely many bounded solutions for non-periodic forcing p by the implicit function theorem and the non-periodic twist maps’ theory established by Kunze and Ortega.

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