@Article{CMR-36-3,
author = {Chen, Bochao and Yong, Li},
title = {Periodic Solutions for a Damped Rayleigh Beam Model with Time Delay},
journal = {Communications in Mathematical Research },
year = {2020},
volume = {36},
number = {3},
pages = {296--319},
abstract = {<p style="text-align: justify;">Vibrations of a beam can be described as an Euler-Bernoulli beam,
or as a Rayleigh beam or as a Timoshenko beam. In this paper, we establish
the existence of periodic solutions in time for a damped Rayleigh beam model
with time delay, which is treated as a bifurcation parameter. The main proof
is based on a Lyapunov-Schmidt reduction together with the classical implicit
function theorem. Moreover, we give a sufficient condition for a direction of
bifurcation.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2020-0015},
url = {https://global-sci.com/article/81534/periodic-solutions-for-a-damped-rayleigh-beam-model-with-time-delay}
}