Infinitely many solutions for a class of p-Laplacian equation with Sturm-Liouville type nonhomogeneous boundary conditions

We establish the criteria for the existence of infinitely many solutions for a class of one-dimensional p-Laplacian equations with Sturm-Liouville type nonhomogeneous boundary conditions. The nonlinear term has two parameters λ, µ and is dependent on x and the derivative u (x) of the solution to be determined. The main method used for the study is Ricceri’s Variational Principle.