Boundary value problems for some fourth order ordinary differential equations
Luís Sanchez · Applicable Analysis · 1990
We consider beam equations of the form with boundary conditions corresponding either to a simply-supported or a clamped beam. The function α is supposed to be nonnegative and we assume that the underlying linear problem has zero as its first eigenvalue. We give a unified treatment of the existence of solutions for both boundary conditions, using variational or degree-theoretic methods.