We study the existence of multiple solutions for a fourth-order nonlinear boundary value problem. We give some new criteria for guaranteeing that the fourth-order elastic beam equation with a perturbed term has at least three solutions. The proof is based on some three critical points theorems of B. Ricceri. Furthermore, numerical simulations are also presented.
Qun Gao. "The Solvability and Numerical Simulation for the Elastic Beam Problems with Nonlinear Boundary Conditions." Abstr. Appl. Anal. 2014 (SI17) 1 - 7, 2014. https://doi.org/10.1155/2014/454658