Abstract
J. Littlewood, L. Markus, and J. Moser proposed independently the boundedness problem for solutions of Duffing's equation: x + g(x) = p(t) , where p( t) is continuous and periodic and g( x) is superlinear at infinity. The purpose of this paper is to prove that all solutions of the above-mentioned Duffing's equation are bounded for t ∈ R when p( t) is even (or when p( t) is odd and g( x) is odd).
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