School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Periodic solutions for a beam equation with concave-convex nonlinearities
Document Type
Article
Publication Date
11-2024
Abstract
We are concerned with the time-periodic solutions of the beam equation with concave-convex nonlinearities which describes the forced vibrations of the beam. In general, the super-linear term plays a dominated role at and the sub-linear term plays a dominated role at . By setting a variational framework, we take advantage of the mini-max principle to obtain two sequences of time-periodic solutions with large energy and small energy, respectively.
Recommended Citation
Liu, Jianhua, Shuguan Ji, and Zhaosheng Feng. "Periodic solutions for a beam equation with concave-convex nonlinearities." Discrete and Continuous Dynamical Systems-S (2024). https://doi.org/10.3934/dcdss.2024198
Publication Title
Discrete and Continuous Dynamical Systems - Series S
DOI
https://doi.org/10.3934/dcdss.2024198