A semilinear beam equation with nonconstant loads Original Research Article

We investigate multiplicity of solutions u(x, t) for a piecewise linear perturbation −(bu+−au−) of the one-dimensional beam operator utt + uxxx under Dirichlet boundary condition on the interval (fr|Sol|π/2,π/2) π/2) and periodic codition on the vasible t. Our concern is to investigate multiplicity of solutions of the equation when the nonlinearity crosses finite eigenvalues and the source term is generated by two eigenfunctions.