Abstract
In this paper, we consider the Littlewood's problem for the second order differential equation x¨+x2n+1+q(t)xl=p(t),l<n, where the functions p(t) and q(t) do not need to be periodic. Using the theory of non-periodic twist mappings which is developed by Kunze and Ortega in [3–7], we obtained longtime closeness results on the bounded and unbounded solutions of the equation.
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