Work

Periodic solutions for a beam equation with concave-convex nonlinearities

Year: 2024

Type: article

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 $ \infty $ and the sub-linear term plays a dominated role at $ 0 $. 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.

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2024198

Authors: Jianhua Liu, Shuguan Ji, Zhaosheng Feng

Institutions: Northeast Normal University, The University of Texas Rio Grande Valley

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404144012

FWCI: 0.781

Cites: 24

Cited by: 1

Related to: 10