The Solvability and Numerical Simulation for the Elastic Beam Problems with Nonlinear Boundary Conditions

الملخص EN

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.