6 Sturm-Liouville Eigenvalue Problems

show that Equation (6.1) can be turned into a differential equation of Sturm-Liouville form: d dx p(x) dy dx +q(x)y = F(x). (6.5) Another way to phrase this is provided in the theorem: Theorem 6.1. Any second order linear operator can be put into the form of the Sturm-Liouville operator (6.2). The proof of this is straight forward, as we shall ...

  Sturm, Liouville