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Functions with average and bounded motions of a forced discontinuous oscillator

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In this paper we prove the existence of bounded solutions in the real line for the equation u+ sign( u) = p( t), where p is a function with average. Some useful density results for the space of functions with zero average are also obtained.

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Forced oscillator Landesman-Lazer condition Generating functions Twist maps Functions with average

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ENGUIÇA, Ricardo; ORTEGA, Rafael – Functions with average and bounded motions of a forced discontinuous oscillator. Journal of Dynamics and Differential Equations. ISSN 1040-7294. Vol. 31, N.º 3 (SI)(2019), pp. 1185-1198

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