Abstract
In this paper, based on a generalized version of the Aubry-Mather theorem about twist maps of an infinite cylinder without the usual infinite twist assumption, we establish the existence of certain quasiperiodic solutions and unlinked periodic solutions in some semilinear Duffing equations ẍ + g(x) = p(t), where p(t) is a continuous periodic function of period 1 and the semilinearity means that 0 < κ ≤ g(x)x ≤ K < + ∞.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.