A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is
Let q(t) be a continuous 2π -periodic function with 1 2π 2π 0 q(t) dt > 0. We propose a new approach to establish the existence of Aubry-Mather sets and quasi-periodic solutions for the following time-periodic parameters semilinear Duffing-type equation: ) is a continuous function, 2π -periodic in the first argument and continuously differentiable in the second one. Under some assumptions on the functions q and f , we prove that there are infinitely many generalized quasi-periodic solutions viadoi:10.1186/s13661-016-0640-5 fatcat:3gaexxegsjg7xlt755uxcxceau