Methods of extending lower order problems to higher order problems in the context of smallest eigenvalue comparisons
Jeffrey T. Neugebauer · Electronic journal of qualitative theory of differential equations · 2011
Abstract. The theory of u0-positive operators with respect to a cone in a Banach space is applied to the linear differential equations u (4) + λ1p(x)u = 0 and u (4) + λ2q(x)u = 0, 0 ≤ x ≤ 1, with each satisfying the boundary conditions