@Article{CMR-32-4,
author = {Jing, Chang},
title = {On Reducibility of Beam Equation with Quasi-Periodic Forcing Potential},
journal = {Communications in Mathematical Research },
year = {2016},
volume = {32},
number = {4},
pages = {289--302},
abstract = {<p style="text-align: justify;">In this paper, the Dirichlet boundary value problems of the nonlinear
beam equation $u_{tt} + ∆^2u + αu + ϵϕ(t)(u + u^3
) = 0, α &gt; 0$ in the dimension one
is considered, where $u(t, x)$ and $ϕ(t$) are analytic quasi-periodic functions in $t$, and $ϵ$ is a small positive real-number parameter. It is proved that the above equation
admits a small-amplitude quasi-periodic solution. The proof is based on an infinite
dimensional KAM iteration procedure.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2016.04.01},
url = {https://global-sci.com/article/81684/on-reducibility-of-beam-equation-with-quasi-periodic-forcing-potential}
}